Applied Mathematics and Computation最新文献

{"title":"Nonlinear adaptive estimator-based prescribed performance control of perturbed quadcopter systems","authors":"Xingcheng Tong ,&nbsp;Xue Xiao ,&nbsp;Xiaozheng Jin ,&nbsp;Hai Wang","doi":"10.1016/j.amc.2025.129663","DOIUrl":"10.1016/j.amc.2025.129663","url":null,"abstract":"<div><div>This article explores a nonlinear adaptive estimator-based prescribed performance control method to address the position and attitude trajectory tracking challenges of perturbed quadcopter systems. Integrating adaptive techniques and filtering operations, the method develops nonlinear perturbation estimators to ensure the asymptotic estimation of perturbations. Moreover, a prescribed performance control strategy is devised using estimation information to contain position and attitude tracking errors within predefined bounds under the influence of persistent time-varying perturbations. Using Lyapunov stability theory, the finite-time bounded and asymptotic stability of tracking errors of quadcopter position and attitude subsystems are established with prescribed performance. Following that, simulations are performed to verify the efficiency of the proposed control method.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129663"},"PeriodicalIF":3.4,"publicationDate":"2025-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144773168","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Investigating the evolutionary dynamics of cooperation on a dynamic network: the influence of aspiration-driven structural adaptations","authors":"Yijie Huang,&nbsp;Yanhong Chen","doi":"10.1016/j.amc.2025.129670","DOIUrl":"10.1016/j.amc.2025.129670","url":null,"abstract":"<div><div>In complex network cooperation research, aspiration-driven mechanisms and dynamic networks both effectively promote cooperation, showing remarkable complementarity. Leveraging this, we innovatively integrate an aspiration mechanism into network updates to study strategy evolution in the Prisoner’s Dilemma. Our model lets individuals adjust connections based on aspiration values, paired with a compatible strategy update framework. Simulations show that for aspiration values within a certain range, cooperation rates rise significantly across all the temptation values, with higher aspiration levels yielding greater cooperation. This confirms that embedding aspirations in network evolution enhances cooperation emergence and spread. Key contributions: constructing a complex network cooperation model, uncovering strategy dynamics mechanisms, and offering theoretical guidance for real-world cooperation.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129670"},"PeriodicalIF":3.4,"publicationDate":"2025-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144756817","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"The minimum atom-bond sum-connectivity index of graphs with given degree sequence","authors":"Qingfang Ye,&nbsp;Fengwei Li","doi":"10.1016/j.amc.2025.129667","DOIUrl":"10.1016/j.amc.2025.129667","url":null,"abstract":"<div><div>The atom-bond sum-connectivity (<em>ABS</em>) index of a graph <span><math><mi>G</mi><mo>=</mo><mo>(</mo><mi>V</mi><mo>,</mo><mi>E</mi><mo>)</mo></math></span> is described as the formula <span><math><mi>A</mi><mi>B</mi><mi>S</mi><mo>(</mo><mi>G</mi><mo>)</mo><mo>=</mo><msub><mrow><mo>∑</mo></mrow><mrow><mi>ξ</mi><mi>ζ</mi><mo>∈</mo><mi>E</mi><mo>(</mo><mi>G</mi><mo>)</mo></mrow></msub><msqrt><mrow><mfrac><mrow><mi>d</mi><mo>(</mo><mi>ξ</mi><mo>)</mo><mo>+</mo><mi>d</mi><mo>(</mo><mi>ζ</mi><mo>)</mo><mo>−</mo><mn>2</mn></mrow><mrow><mi>d</mi><mo>(</mo><mi>ξ</mi><mo>)</mo><mo>+</mo><mi>d</mi><mo>(</mo><mi>ζ</mi><mo>)</mo></mrow></mfrac></mrow></msqrt></math></span>, where <span><math><mi>d</mi><mo>(</mo><mi>ξ</mi><mo>)</mo></math></span> represents the degree of vertex <span><math><mi>ξ</mi><mo>∈</mo><mi>V</mi></math></span>. It is possible to forecast the heat of production of octane and heptane with accuracy by using the <em>ABS</em> index. This paper explores the structural properties of connected graphs with a particular degree sequence and the minimum <em>ABS</em> index. These findings are also applied to the characterization of extremal graphs having minimal <em>ABS</em> index among two types of graphs which are bicyclic or unicyclic with a specific degree sequence.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129667"},"PeriodicalIF":3.4,"publicationDate":"2025-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144749814","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Impulse-based output consensus tracking of heterogeneous clustered networks subjected to unknown bounded cyber-attacks","authors":"Yuanjun Chai ,&nbsp;Chao Ge ,&nbsp;Yanpeng Shi ,&nbsp;Zhinan Peng ,&nbsp;Huiyan Zhang","doi":"10.1016/j.amc.2025.129660","DOIUrl":"10.1016/j.amc.2025.129660","url":null,"abstract":"<div><div>This paper investigates the output consensus tracking problem of heterogeneous multi-agent systems over a complex clustered network subject to unknown sensor attacks. In the case of false data injection attacks, the attackers launch attack signals into the sensors of heterogeneous agents. Firstly, a novel network structure with inter-cluster impulsive pinning control is designed for the complex wide-area network. Secondly, by modelling sensor attacks, an adaptive dynamics is developed to estimate the unknown attack signals, then a unified framework for the adaptive observer is established using the compromised output information. Thirdly, a distributed adaptive observer-based hybrid controller under the internal model and impulsive control is designed to achieve output consensus with uniform ultimate boundedness. Furthermore, sufficient conditions of consensus tracking are developed based on the output feedback control method, where controllers and adaptive parameters are derived using both linear matrix inequalities and output regulation techniques. Finally, the developed adaptive observer-based hybrid control method is verified by the simulation results of unmanned aerial vehicle systems.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129660"},"PeriodicalIF":3.4,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144739239","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Closeness spectra and structural uniqueness of special graph classes","authors":"Qaisar Farhad,&nbsp;Mumtaz Hussain,&nbsp;Shou-Jun Xu","doi":"10.1016/j.amc.2025.129666","DOIUrl":"10.1016/j.amc.2025.129666","url":null,"abstract":"<div><div>For a graph <em>G</em> with vertex set <span><math><mi>V</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span> and edge set <span><math><mi>E</mi><mo>(</mo><mi>G</mi><mo>)</mo></math></span>. Let <span><math><mi>d</mi><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo></math></span> be the distance between vertices <em>u</em> and <em>v</em>. The closeness matrix of a graph <em>G</em> is a symmetric matrix, where each entry <span><math><msub><mrow><mi>c</mi></mrow><mrow><mi>G</mi></mrow></msub><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo></math></span> is defined as <span><math><msub><mrow><mi>c</mi></mrow><mrow><mi>G</mi></mrow></msub><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo><mo>=</mo><msup><mrow><mn>2</mn></mrow><mrow><mo>−</mo><mi>d</mi><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo></mrow></msup></math></span> for <span><math><mi>u</mi><mo>≠</mo><mi>v</mi></math></span>, and <span><math><msub><mrow><mi>c</mi></mrow><mrow><mi>G</mi></mrow></msub><mo>(</mo><mi>u</mi><mo>,</mo><mi>v</mi><mo>)</mo><mo>=</mo><mn>0</mn></math></span>, if <span><math><mi>u</mi><mo>=</mo><mi>v</mi></math></span>. In the present study, we investigate the closeness spectra of connected graphs and inquire whether specific graph classes may be distinguished by their closeness eigenvalues. We inspect the tree <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>3</mn><mo>,</mo><mi>n</mi><mo>−</mo><mn>3</mn></mrow></msub></math></span>, the path <span><math><msub><mrow><mi>P</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span>, the complete graph <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>n</mi></mrow></msub></math></span>, and the join graph <span><math><mo>(</mo><msub><mrow><mi>P</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>∪</mo><msub><mrow><mi>P</mi></mrow><mrow><mn>3</mn></mrow></msub><mo>)</mo><mo>∨</mo><mover><mrow><msub><mrow><mi>K</mi></mrow><mrow><mi>n</mi><mo>−</mo><mn>4</mn></mrow></msub></mrow><mo>‾</mo></mover></math></span>. Applying careful spectral computation, we demonstrate that such graphs are uniquely specified by their closeness spectra. Additionally, we confirm that the tree <span><math><msub><mrow><mi>T</mi></mrow><mrow><mn>3</mn><mo>,</mo><mi>n</mi><mo>−</mo><mn>3</mn></mrow></msub></math></span> achieves the second-smallest closeness eigenvalue among trees of diameter 3. Our findings emphasize the importance of closeness matrices in spectral graph theory and lead to more clarity of the relationship between the structure of graphs and its spectrum.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129666"},"PeriodicalIF":3.4,"publicationDate":"2025-07-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144749813","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Evolution of group behaviour in the ecological snowdrift game-level-headed and impatient delayed epidemic model under emergencies","authors":"Rongjian Lv ,&nbsp;Hua Li ,&nbsp;Qiubai Sun ,&nbsp;Qiyue Gao ,&nbsp;Bowen Li","doi":"10.1016/j.amc.2025.129668","DOIUrl":"10.1016/j.amc.2025.129668","url":null,"abstract":"<div><div>Major emergencies generate negative emotions within a group. Therefore, the topic of the spread of emotions leading to the coexistence of cooperation and defection within a group has attracted much attention. We introduced the influence of the external environment and constructed an ecological snowdrift game model to explore the evolution of cooperation and defection in this paper. On this basis, the ecological snowdrift game-level-headed and impatient delayed epidemic model was developed. This model considers the differences in individual personalities by categorizing individuals into level-headed and impatient groups, and also incorporates a delay in the spread of panic within groups. We computed a threshold value for panic spread and analysed the qualitative behaviour of the epidemic model, such as locally and globally asymptotically stable equilibria. The results indicated that cooperation is more likely to emerge in a group as the probability of a cooperator encountering an individual with the same strategy increases. Comparison with the level-headed and impatient delayed epidemic model revealed that group behaviour (i.e., cooperation and defection) can influence the evolutionary process of populations within a group. Numerical simulations verified the effectiveness of the derived results. The proposed model was analysed and validated through a practical example and visualization for sentiment analysis using the Naive Bayes algorithm. The findings of the paper can help to further explore the evolution of group behaviour.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129668"},"PeriodicalIF":3.4,"publicationDate":"2025-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144723021","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Existence and non-existence of radial solutions for a class of fourth order elliptic PDE arising in epitaxial growth theory","authors":"Biswajit Pandit ,&nbsp;Pratikshya Mainini ,&nbsp;Amit K. Verma ,&nbsp;Ravi P. Agarwal","doi":"10.1016/j.amc.2025.129642","DOIUrl":"10.1016/j.amc.2025.129642","url":null,"abstract":"<div><div>In this paper, we focus on a class of fourth order elliptic partial differential equation arising in epitaxial growth theory as follows<span><span><span><math><mrow><msup><mrow><mi>Δ</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>f</mi><mo>=</mo><mi>det</mi><mo>⁡</mo><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>f</mi><mo>)</mo><mo>+</mo><mi>λ</mi><mi>G</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mspace></mspace><mspace></mspace><mi>x</mi><mo>∈</mo><mi>Ω</mi><mo>⊂</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>,</mo></mrow></math></span></span></span> where <span><math><mo>(</mo><msup><mrow><mi>D</mi></mrow><mrow><mn>2</mn></mrow></msup><mi>f</mi><mo>)</mo></math></span> is the Hessian matrix, <span><math><mi>λ</mi><mo>∈</mo><mi>R</mi></math></span> is the parameter which measures the speed of the particle and <span><math><mi>G</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></span> is the deposition rate. We fix the problem on the disk with radius <em>T</em> and it is defined by <span><math><mi>Ω</mi><mo>=</mo><mo>{</mo><mo>(</mo><msub><mrow><mi>x</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>)</mo><mo>:</mo><msup><mrow><msub><mrow><mi>x</mi></mrow><mrow><mn>1</mn></mrow></msub></mrow><mrow><mn>2</mn></mrow></msup><mo>+</mo><msup><mrow><msub><mrow><mi>x</mi></mrow><mrow><mn>2</mn></mrow></msub></mrow><mrow><mn>2</mn></mrow></msup><mo>≤</mo><msup><mrow><mi>T</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>}</mo><mo>⊂</mo><msup><mrow><mi>R</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>. We investigate the radial solutions subject to different types of boundary condition. Since the radial problems are nonlinear, non-self-adjoint, fourth order and a parameter <em>λ</em> is present, therefore it is not easy to analyze the radial solution. Here, we apply monotone iterative technique to show the existence of at least one solution in continuous space. We manifest some properties of the solutions and provide bounds for the values of the parameter <em>λ</em> to separate the existence from non-existence of the radial solution. Exact solution of this problem is not known. To find the approximate solutions, we develop an iterative technique based on Adomian polynomial and Green's function. We place some numerical data that will verify the theoretical results.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129642"},"PeriodicalIF":3.4,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Study of reduced Chialvo map with electromagnetic flux: Dynamics and network behavior","authors":"Ajay Kumar,&nbsp;V.V.M.S. Chandramouli","doi":"10.1016/j.amc.2025.129650","DOIUrl":"10.1016/j.amc.2025.129650","url":null,"abstract":"<div><div>We introduce a novel two-dimensional discrete neuron map, which is obtained by adding an electromagnetic flux on a reduced Chialvo map and study various dynamical aspects of the proposed map. We discuss the stability of fixed points, bistability, different bifurcations, S-shape chaotic attractors, and firing patterns. In our exploration, the bistability phenomena showcase the coexistence of different periodic attractors along with the basin of attraction region. We observe that the system undergoes chaotic behavior via period-doubling and reverse period-doubling and also illustrate the behavior of the chaotic bubbles. Further, we explore the numerical continuation of bifurcation for codimension-one and codimension-two of the map. The evolution of chaotic attractor through various states and its associated correlation dimension shows the intricate structure and complexity of the map. Additionally, we extend the dynamical study to the network of neurons, specifically focusing on the ring-star network. This broader investigation shows different dynamic states in the network, like synchronized, unsynchronized, and chimera states. Finally, we vary the coupling strength parameters of the network map and observe that it shows diverse wavy patterns and clustered states.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129650"},"PeriodicalIF":3.4,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722647","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A nonstandard numerical scheme for a novel SECIR integro-differential equation-based model allowing nonexponentially distributed stay times","authors":"Anna Wendler ,&nbsp;Lena Plötzke ,&nbsp;Hannah Tritzschak ,&nbsp;Martin J. Kühn","doi":"10.1016/j.amc.2025.129636","DOIUrl":"10.1016/j.amc.2025.129636","url":null,"abstract":"<div><div>Ordinary differential equations (ODE) are a popular tool to model the spread of infectious diseases, yet they implicitly assume an exponential distribution to describe the flow from one infection state to another. However, scientific experience yields more plausible distributions where the likelihood of disease progression or recovery changes accordingly with the duration spent in a particular state of the disease. Furthermore, transmission dynamics depend heavily on the infectiousness of individuals. The corresponding nonlinear variation with the time individuals have already spent in an infectious state requires more realistic models. The previously mentioned items are particularly crucial when modeling dynamics at change points such as the implementation of nonpharmaceutical interventions. In order to capture these aspects and to enhance the accuracy of simulations, integro-differential equations (IDE) can be used.</div><div>In this paper, we propose a generalized model based on integro-differential equations with eight infection states. The model allows for variable stay time distributions and generalizes the concept of ODE-based models as well as IDE-based age-of-infection models. In this, we include particular infection states for severe and critical cases to allow for surveillance of the clinical sector, avoiding bottlenecks and overloads in critical epidemic situations.</div><div>On the other hand, a drawback of IDE-based models is that efficient numerical solvers are not as widely available as for ODE systems and tailored schemes might be needed. We will extend a recently introduced nonstandard numerical scheme to solve a simpler IDE-based model. This scheme is adapted to our more advanced model and we prove important mathematical and biological properties for the numerical solution. Furthermore, we validate our approach numerically by demonstrating the convergence rate. Eventually, we also show that our novel model is intrinsically capable of better assessing disease dynamics upon the introduction of nonpharmaceutical interventions.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129636"},"PeriodicalIF":3.4,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722648","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Vaccination dilemmas in mitigating monkeypox outbreaks: An imitation dynamics game model approach","authors":"Susanta Kumar Das ,&nbsp;Adrita Ghosh ,&nbsp;Parthasakha Das ,&nbsp;K.M. Ariful Kabir ,&nbsp;Pritha Das ,&nbsp;Dibakar Ghosh","doi":"10.1016/j.amc.2025.129641","DOIUrl":"10.1016/j.amc.2025.129641","url":null,"abstract":"<div><div>The monkeypox epidemic poses a serious global health threat, making effective control strategies essential. Using a mechanistic SEIR (Susceptible-Exposed-Infectious-Recovered) model, this study incorporates both pro- and anti-vaccination attitudes among susceptibles to examine their impact on transmission. Sensitivity analysis via partial rank correlation coefficients (PRCC) identifies key parameters affecting the basic reproduction number (<span><math><msub><mrow><mi>R</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>). The model reveals both forward and backward bifurcations, indicating potential for stable infection states and persistent epidemics. To address vaccination behavior, a coupled vaccination game based on imitation dynamics is introduced. Results show that higher imitation rates increase pro-vaccine adoption and reduce infections. The study highlights the role of social dilemmas, where low pro-vaccine uptake and frequent strategy switching worsen outbreaks. High vaccination costs further reduce social payoff, but strong social learning still promotes uptake, even with low susceptibility or high costs. Overall, social learning strategies can enhance vaccination rates and curb monkeypox spread.</div></div>","PeriodicalId":55496,"journal":{"name":"Applied Mathematics and Computation","volume":"509 ","pages":"Article 129641"},"PeriodicalIF":3.4,"publicationDate":"2025-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144722649","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}