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Spatiotemporal dynamics in a toxin-producing predator–prey model with threshold harvesting 具有阈值收获的产毒捕食者-猎物模型的时空动力学
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-07-27 DOI: 10.15388/namc.2023.28.32845
Luhong Ye, Hongyong Zhao, Daiyong Wu
{"title":"Spatiotemporal dynamics in a toxin-producing predator–prey model with threshold harvesting","authors":"Luhong Ye, Hongyong Zhao, Daiyong Wu","doi":"10.15388/namc.2023.28.32845","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32845","url":null,"abstract":"In this paper, we propose a toxin-producing predator–prey model with threshold harvesting and study spatiotemporal dynamics of the model under the homogeneous Neumann boundary conditions. At first, the persistence property of solutions to the system is investigated. Then the explicit requirements for the existence of nonconstant steady state solutions are derived by studying the relevant characteristic equation. These steady states occur from related constant steady states via steady state bifurcation. Throughout the analysis of the amplitude equations of Turing pattern by the multiple scale method, pattern formation can be found. Finally, we display  umericalsimulations to verify the theoretical outcomes.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42526617","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications (psi)的新广义c条件的不动点定理模度量空间中的映射及其应用
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-07-19 DOI: 10.15388/namc.2023.28.32711
Hami Gündoğdu, M. Öztürk, Ö. F. Gözükizil
{"title":"Fixed point theorems of new generalized C-conditions for ( psi; gamma)-mappings in modular metric spaces and its applications","authors":"Hami Gündoğdu, M. Öztürk, Ö. F. Gözükizil","doi":"10.15388/namc.2023.28.32711","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32711","url":null,"abstract":"This paper introduces new generalizations of the C-condition for (ψ; γ)-mappings in modular metric spaces. We extend the fixed point results for such mappings yielding the generalized C-condition in metric spaces to modular ones.We proved the existence and uniqueness of solutions in modular metric spaces for these kinds of mappings. We give an example to emphasize that our results work in the difference between modularmetric spaces and usual ones. Moreover, we consider some initial and boundary value problems to support the results obtained here. We examine the existence and uniqueness of the solutions for the problems in modular metric spaces.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42116477","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and global asymptotic behavior of S-asymptotically periodic solutions for fractional evolution equation with delay 具有时滞的分数阶演化方程s -渐近周期解的存在性和全局渐近性
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-07-10 DOI: 10.15388/namc.2023.28.32643
Qiang Li, Lishan Liu, Xuan Wu
{"title":"Existence and global asymptotic behavior of S-asymptotically periodic solutions for fractional evolution equation with delay","authors":"Qiang Li, Lishan Liu, Xuan Wu","doi":"10.15388/namc.2023.28.32643","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32643","url":null,"abstract":"This paper discusses the S-asymptotically periodic problem of fractional evolution equation with delay. By introducing a new noncompact measure theory involving infinite interval, we study the existence of S-asymptotically periodic mild solutions under the situation that the relevant semigroup is noncompact and the nonlinear term satisfies more general growth conditions instead of Lipschitz-type conditions. Moreover, by establishing a new Gronwall-type integral inequality corresponding to fractional differential equation with delay, we consider the global asymptotic behavior of S-asymptotically periodic mild solutions, which will make up for the blank of this field.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47005980","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Optimal control analysis of a malaria transmission model with applications to Democratic Republic of Congo 疟疾传播模型的最优控制分析及其在刚果民主共和国的应用
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-30 DOI: 10.15388/namc.2023.28.32600
Jinhui Li, M. Osman, Z. Teng
{"title":"Optimal control analysis of a malaria transmission model with applications to Democratic Republic of Congo","authors":"Jinhui Li, M. Osman, Z. Teng","doi":"10.15388/namc.2023.28.32600","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32600","url":null,"abstract":"In this paper, a dynamical model of malaria transmission with vector-bias and timedependent controls is investigated. The controls include the RTS,S malaria vaccine, using insecticide-treated mosquito net, treatment of infectious human, and indoor spraying. For constant controls, the existence and stability of equilibrium, as well as the existence of backward bifurcation, are obtained. The sensitivity analysis quantifies the impact of parameters and controls on the basic reproduction number. For time-dependent controls, by using the Pontryagin’s maximum principle the existence and expression of optimal controls are established. As an application of the model and control strategies, the malaria transmission and controls in Democratic Republic of Congo are discussed. To be specific, we simulate the reported cases of Democratic Republic of Congo by World Health Organization and predict the trends. Cost-effectiveness analysis and numerical simulations show that combining all controls can minimize the number of infected humans to the full extent, using insecticide-treated mosquito net is the most cost-effectiveness strategy, combining RTS,S malaria vaccine with using insecticide-treated mosquito net and treatment of infectious human is also cost-effective among all the strategies with good effect.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46969992","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions 弱Wardowski压缩多值映射与广义phi-Capto分数速边包含的可解性
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-30 DOI: 10.15388/namc.2023.28.32142
H. Jafari, B. Mohammadi, Vahid Parvaneh, M. Mursaleen
{"title":"Weak Wardowski contractive multivalued mappings and solvability of generalized phi-Caputo fractional snap boundary inclusions","authors":"H. Jafari, B. Mohammadi, Vahid Parvaneh, M. Mursaleen","doi":"10.15388/namc.2023.28.32142","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32142","url":null,"abstract":"In this paper, we introduce the notion of weak Wardowski contractive multivalued mappings and investigate the solvability of generalized '-Caputo snap boundary fractional differential inclusions. Our results utilize some existing results regarding snap boundary fractional differential inclusions. An example is given to illustrate the applicability of our main results.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48169765","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model 一种新的分数阶2I2SR谣言传播模型的动态分析与最优控制
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-30 DOI: 10.15388/namc.2023.28.32599
Maolin Ye, Jiarong Li, Haijun Jiang
{"title":"Dynamic analysis and optimal control of a novel fractional-order 2I2SR rumor spreading model","authors":"Maolin Ye, Jiarong Li, Haijun Jiang","doi":"10.15388/namc.2023.28.32599","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32599","url":null,"abstract":"In this paper, a novel fractional-order 2I2SR rumor spreading model is investigated. Firstly, the boundedness and uniqueness of solutions are proved. Then the next-generation matrix method is used to calculate the threshold. Furthermore, the stability of rumor-free/spreading equilibrium is discussed based on fractional-order Routh–Hurwitz stability criterion, Lyapunov function method, and invariance principle. Next, the necessary conditions for fractional optimal control are obtained. Finally, some numerical simulations are given to verify the results.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49546400","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Nontrivial solutions for an asymptotically linear Delta alpha-Laplace equation 渐近线性拉普拉斯方程的非平凡解
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-30 DOI: 10.15388/namc.2023.28.32177
Jiafa Xu, J. Chen, D. O’Regan
{"title":"Nontrivial solutions for an asymptotically linear Delta alpha-Laplace equation","authors":"Jiafa Xu, J. Chen, D. O’Regan","doi":"10.15388/namc.2023.28.32177","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32177","url":null,"abstract":"In this paper, we study a class of degenerate unperturbed problems. We first investigate some properties of eigenvalues and eigenfunctions for the strongly degenerate elliptic operator and then obtain two existence theorems of nontrivial solutions when the nonlinearity is a function with an asymptotically condition.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45175753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Finite-time adaptive synchronization of fractional-order delayed quaternion-valued fuzzy neural networks 分数阶延迟四元数值模糊神经网络的有限时间自适应同步
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-19 DOI: 10.15388/namc.2023.28.32505
Shenglong Chen, Hongli Li, Leimin Wang, Cheng Hu, Haijun Jiang, Zhiming Li
{"title":"Finite-time adaptive synchronization of fractional-order delayed quaternion-valued fuzzy neural networks","authors":"Shenglong Chen, Hongli Li, Leimin Wang, Cheng Hu, Haijun Jiang, Zhiming Li","doi":"10.15388/namc.2023.28.32505","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32505","url":null,"abstract":"Based on direct quaternion method, this paper explores the finite-time adaptive synchronization (FAS) of fractional-order delayed quaternion-valued fuzzy neural networks (FODQVFNNs). Firstly, a useful fractional differential inequality is created, which offers an effective way to investigate FAS. Then two novel quaternion-valued adaptive control strategies are designed. By means of our newly proposed inequality, the basic knowledge about fractional calculus, reduction to absurdity as well as several inequality techniques of quaternion and fuzzy logic, several sufficient FAS criteria are derived for FODQVFNNs. Moreover, the settling time of FAS is estimated, which is in connection with the order and initial values of considered systems as well as the controller parameters. Ultimately, the validity of obtained FAS criteria is corroborated by numerical simulations.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46610438","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Optimal control for a two-sidedly degenerate aggregation equation 一类双面退化聚集方程的最优控制
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-06-04 DOI: 10.15388/namc.2023.28.32395
M. Bendahmane, Fahd Karami, Elmahdi Erraji, Abdelghafour Atlas, L. Afraites
{"title":"Optimal control for a two-sidedly degenerate aggregation equation","authors":"M. Bendahmane, Fahd Karami, Elmahdi Erraji, Abdelghafour Atlas, L. Afraites","doi":"10.15388/namc.2023.28.32395","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32395","url":null,"abstract":"In this paper, we are concerned with the study of the mathematical analysis for an optimal control of a nonlocal degenerate aggregation model. This model describes the aggregation of organisms such as pedestrian movements, chemotaxis, animal swarming. We establish the wellposedness (existence and uniqueness) for the weak solution of the direct problem by means of an auxiliary nondegenerate aggregation equation, the Faedo–Galerkin method (for the existence result) and duality method (for the uniqueness). Moreover, for the adjoint problem, we prove the existence result of minimizers and first-order necessary conditions. The main novelty of this work concerns the presence of a control to our nonlocal degenerate aggregation model. Our results are complemented with some numerical simulations.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":" ","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47060180","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Event-triggered leader-following formation control of general linear multi-agent systems with distributed infinite input time delays 具有分布无限输入时滞的一般线性多智能体系统事件触发的leader-follow群体控制
IF 2 3区 数学
Nonlinear Analysis-Modelling and Control Pub Date : 2023-05-23 DOI: 10.15388/namc.2023.28.32277
Y. Deng, Wei Zhu
{"title":"Event-triggered leader-following formation control of general linear multi-agent systems with distributed infinite input time delays","authors":"Y. Deng, Wei Zhu","doi":"10.15388/namc.2023.28.32277","DOIUrl":"https://doi.org/10.15388/namc.2023.28.32277","url":null,"abstract":"By employing event-triggered control technique, this paper investigates the leaderfollowing formation control problem of general linear multi-agent systems with distributed infinite input time delays. To decrease computing costs, a novel event-triggered formation protocol taking into consideration of the distributed infinite time delays between agents is put forward. Under the designed triggering function and triggering condition, a sufficient condition on leader-following formation is obtained, and then the Zeno-behavior of triggering time sequences is excluded for the concerned closed-loop system. The continuous update of controller for each agent is avoided. Finally, the correctness and the effectiveness of these theoretical results are demonstrated by two numerical examples.","PeriodicalId":49286,"journal":{"name":"Nonlinear Analysis-Modelling and Control","volume":"20 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2023-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"66951556","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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