Applied Mathematical Modelling最新文献

{"title":"Modelling for assessing the compulsory vaccination strategy against highly pathogenic avian influenza in a poultry farm of China","authors":"Juan Li ,&nbsp;Bingxin Nie ,&nbsp;Lu Gao ,&nbsp;Junhui Zhang ,&nbsp;Lijun Liu ,&nbsp;Hui Xu ,&nbsp;Youming Wang ,&nbsp;Renjie Sun ,&nbsp;Hongli Zhang ,&nbsp;Huaiping Zhu","doi":"10.1016/j.apm.2025.116130","DOIUrl":"10.1016/j.apm.2025.116130","url":null,"abstract":"<div><div>The prevalence of highly pathogenic avian influenza (HPAI) has become substantial obstacles for the poultry industry and international trade with potential threat to human health. We developed a data-driven transmission model for quantitatively assessing the risk of HPAI spread in a henhouse under the China national mandatory vaccination plan for prevention and control of HPAI in the poultry industry. With data from farm investigations and literature reviews, we calibrated our model to estimate some key model parameters. We employed the Latin Hypercubic Sampling (LHS) technique for multiple sampling during simulations and subsequently conducted statistical analysis to enhance the accuracy and reliability of our results. We found that within a designated single henhouse, regardless of whether the initial virus level is 5 or 500 times the minimum viral load required to trigger highly fatal avian influenza, when the virus transmission capacity is low (the basic reproductive number <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mi>∈</mi><mrow><mo>(</mo><mrow><mn>2</mn><mo>,</mo><mn>3</mn></mrow><mo>)</mo></mrow></mrow></math></span>), implementing mandatory vaccination measures according to the policy-stipulated timings will keep the average overall mortality rate of chickens with maternal antibodies within the range of 0.08 %-0.42 %. However, if the virus transmission capacity doubles, the loss of chickens will increase by 3–5 times, but it will still be significantly lower than the normal mortality rate (5 %). Therefore, to optimize post-vaccination management and control, we recommend monitoring flock antibodies regularly, evaluating vaccine effectiveness promptly, strengthening pathogen surveillance, and upgrading farm biosecurity level. These measures are essential for safeguarding flock immunity, facilitating early virus detection, and mitigating the risk of HPAI transmission.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116130"},"PeriodicalIF":4.4,"publicationDate":"2025-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826236","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Determining flux terms in a time fractional model","authors":"Mohamed BenSalah ,&nbsp;Salih Tatar ,&nbsp;Süleyman Ulusoy ,&nbsp;Masahiro Yamamoto","doi":"10.1016/j.apm.2025.116125","DOIUrl":"10.1016/j.apm.2025.116125","url":null,"abstract":"<div><div>In this paper, we investigate the flux identification problem for a nonlinear time-fractional viscoelastic equation with a general source function, using boundary measurements. We first establish the well-posedness of the direct problem by proving the existence, uniqueness, and continuous dependence of the solution on the heat flux. Next, we demonstrate the Fréchet differentiability of the cost functional, providing a theoretical foundation for solving the inverse problem. To efficiently reconstruct the unknown flux, we develop a Conjugate Gradient Algorithm based on the derived gradient formula. Finally, we validate the effectiveness and robustness of our approach through numerical experiments, including both noise-free and noisy data, confirming its accuracy and practical applicability.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116125"},"PeriodicalIF":4.4,"publicationDate":"2025-04-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143814997","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Adaptive mollified prescribed performance controller for waverider vehicle subjected to mismatched disturbances","authors":"Rongyi Guo ,&nbsp;Yibo Ding ,&nbsp;Ran Tao ,&nbsp;Xiaokui Yue","doi":"10.1016/j.apm.2025.116122","DOIUrl":"10.1016/j.apm.2025.116122","url":null,"abstract":"<div><div>Considering gliding waverider vehicle is often subjected to mismatched and matched disturbances, designing a strongly robust controller to accurately limit transient performance and ensure high-precision convergence of tracking error is of great significance for flight safety. Therefore, this paper investigates an adaptive mollified prescribed performance controller for waverider vehicle, including an adaptive anti-saturation prescribed performance function, and a mollified fixed-time sliding mode surface. Firstly, a novel adaptive anti-saturation prescribed performance function is designed for waverider vehicle to exactly restrict transient and steady-state performance of attitude, and reduce saturated duration of actuator without anti-saturation compensator. Meanwhile, compared with traditional function, the performance function can adaptively adjust boundary to ensure that tracking error is always enveloped within the performance function, thus avoiding severe singularity caused by error exceeding boundary. Then, a mollified fixed-time sliding mode surface is proposed to effectively suppress mismatched disturbances acting on gliding waverider vehicle, by introducing a novel designed mollified function. The mollified function can smooth sign function, making sliding mode surface continuously differentiable to reduce chattering. Based on the novel performance function, sliding mode surface, and mollified reaching law, the adaptive mollified prescribed performance controller can accurately restrict transient and steady-state performance of waverider vehicle, reduce saturation duration of actuator, and exhibit strong robustness against mismatched and matched disturbances. Finally, numerical simulations demonstrate the effectiveness of the proposed method.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116122"},"PeriodicalIF":4.4,"publicationDate":"2025-04-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143820740","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analysis for face stability of the underwater shield tunnel traversing longitudinally heterogeneous strata","authors":"Jijie Du ,&nbsp;Liansheng Tang ,&nbsp;Lujia Niu ,&nbsp;Xianzhou Lyu ,&nbsp;Jianing Huang","doi":"10.1016/j.apm.2025.116116","DOIUrl":"10.1016/j.apm.2025.116116","url":null,"abstract":"<div><div>Maintaining tunnel face stability during underwater shield tunneling through longitudinally heterogeneous strata remains a critical challenge, with limited theoretical research addressing this issue. This study presents an improved limit equilibrium model to assess tunnel face stability, specifically considering the failure zones on both sides of the interface. The model's validity is demonstrated through comparative verification with prior studies and numerical simulations, and a comprehensive parametric analysis reveals critical insights into tunnel face stability. The findings reveal the limit support pressure (LSP) increases when the shield machine approaches a low-strength stratum from a high-strength one and decreases during the reverse process. Neither water depth nor burial depth do not affect the evolution of the LSP but contribute to its increase as these parameters increase. The support ratio (<em>K</em>) rises with water depth increases while decreases with deeper burial depth. Furthermore, the tunnel face-interface distance at which LSP initiates modification (<em>L_m</em>) demonstrates an inverse correlation with stratum strength, while being positively influenced by burial depth and water depth, with stratum strength dominating over the latter two parameters.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116116"},"PeriodicalIF":4.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823550","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Nonlinear static and dynamic buckling analysis of GPL-reinforced spherical caps and circular plates with porous core and stepped spiderweb stiffeners","authors":"Hoai Nam Vu ,&nbsp;Quang Minh Tran ,&nbsp;Van Tien Nguyen ,&nbsp;Thanh Hieu Pham ,&nbsp;Thi Phuong Nguyen","doi":"10.1016/j.apm.2025.116123","DOIUrl":"10.1016/j.apm.2025.116123","url":null,"abstract":"<div><div>This paper analyzes the nonlinear static and dynamic buckling responses of graphene platelet (GPL) reinforced shallow spherical caps and circular plates with porous core and stepped spiderweb stiffeners. The new design of stepped spiderweb stiffeners is proposed by adding meridian stiffeners near the edge region, and three regions are created as the edge region, the middle region, and the top region. Different GPL distribution laws, including U, X, O, A, and V laws are considered for GPL-reinforced face sheets, and the U, X, O, V, and A GPL distribution laws for spiderweb stiffeners are respectively chosen, while the trigonometric distribution law of porosity is designed for the porous core. The smeared stiffener technique is improved for stepped spiderweb stiffeners, combining with nonlinear Donnell shell theory, and nonlinear foundation model to derive the static and dynamic responses of the structures. The energy method is employed to perform the equilibrium equations for static problems, and the motion equation for dynamic problems. The static postbuckling responses are explicitly obtained, and the Runge-Kutta method is applied to investigate the nonlinear dynamic buckling behavior of the considered plates and shell caps. The numerical examples of nonlinear static and dynamic buckling of spherical caps and circular plates can predict the significant effects of spiderweb stiffeners, geometrical and material parameters, and nonlinear foundation. The results show that the spiderweb stiffeners largely enhance the buckling strength of spherical caps, while a higher porosity coefficient reduces mechanical but increases thermal postbuckling strength.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116123"},"PeriodicalIF":4.4,"publicationDate":"2025-04-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143820739","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"A reduced model for phase-change problems with radiation using simplified PN approximations","authors":"Youssef Belhamadia ,&nbsp;Mohammed Seaid","doi":"10.1016/j.apm.2025.116108","DOIUrl":"10.1016/j.apm.2025.116108","url":null,"abstract":"<div><div>Radiative heat transfer in phase-change media is of great interest in many thermal applications in sciences and engineering involving internal melting or solidification. In these problems at high temperature, a mathematical model used to describe the heat transfer and phase change should also include equations accounting for thermal radiation. Using the integro-differential equation for the radiative intensity in these models results in a system of coupled equations for which its numerical solution is computationally very demanding. In the present study, we develop a class of efficient reduced models for phase-change problems accounting for grey thermal radiation. The novelty in these models lies in the fact that effects of thermal radiation are well captured in phase-change materials without solving the computationally demanding radiative transfer equation. The model is derived from the enthalpy formulation and the simplified <span><math><msub><mrow><mi>P</mi></mrow><mrow><mi>N</mi></mrow></msub></math></span> approximations of spherical harmonics. The integro-differential equation for the full radiative transfer is replaced by a set of differential equations which are independent of the angle variable and easy to solve using conventional computational methods. To solve the coupled equations, we implement a second-order implicit scheme for the time integration and a mixed finite element method for the space discretization. A Newton-based algorithm is also adopted for solving the nonlinear systems resulting from the considered monolithic approach. The performance of the proposed reduced models is analyzed on several test examples for coupled radiative heat transfer and phase-change problems in two and three space dimensions. The results presented in this study demonstrate that the proposed models can accurately predict the temperature distributions and capture the phase-change interfaces in melting and solidification examples, all while maintaining a very low computational cost.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116108"},"PeriodicalIF":4.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143792189","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Analysis of dynamic stress fields in finite strain deformations of compressible materials with moving cracks","authors":"Ellafi B.,&nbsp;Mansouri K.,&nbsp;Trifa M.,&nbsp;Arfaoui M.","doi":"10.1016/j.apm.2025.116121","DOIUrl":"10.1016/j.apm.2025.116121","url":null,"abstract":"<div><div>In this study, an asymptotic analysis of plane strain deformation and associated stress fields in the vicinity of a steady moving crack tip in a class of compressible hyperelastic materials is formulated. It is assumed that the semi-infinite crack is in a homogeneous Ciarlet-Geymonat material under general mixed mode I/II loads. The crack tip deformation, stress and the Jacobian determinant fields are developed up to the third order in order to guarantee the strict positivity of the Jacobian determinant in the vicinity of the moving crack tip. These higher-order elastodynamics fields predict new deformed crack-face profiles possibilities. These results indicate that the crack opens up in the vicinity of its tips even when the applied loading is antisymmetric about the plane of the crack which generalize Stephenson's result to the dynamic case. The Cauchy stresses components versus current polar coordinates are non-separables forms and the singularities depend upon the spatial polar angle coordinate. This highlights the difference with the steady dynamic LEFM theory and others previous nonlinear studies. Finally, the constant appearing in the first order elastodynamics fields is determined by linking the singular hyperelastic fields to the singular linear elastic ones using the J-Integral.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116121"},"PeriodicalIF":4.4,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143792190","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Hierarchical topology optimization considering design-dependent pressure loads","authors":"Jianhua Xiang,&nbsp;Shikeng Zhao,&nbsp;Yongfeng Zheng,&nbsp;Jiale Huang","doi":"10.1016/j.apm.2025.116119","DOIUrl":"10.1016/j.apm.2025.116119","url":null,"abstract":"<div><div>Fluid-induced pressures usually alter in magnitude, direction, and application points during the action, which requires sophisticated computational modeling. Furthermore, multiscale design parameters have strong interdependencies. For the first time, this paper presents a comprehensive investigation on the hierarchical topology optimization considering pressure loads. In this framework, a smooth transition between solids and voids is achieved using the classical solid isotropic material penalization method with Heaviside function, Darcy's law and a drainage term are adopted to construct an ideal natural pressure field. The homogenization method builds a bridge between macroscopic and microscopic structural optimization. The macro-structural design variables are updated using the moving asymptotes method, to address the challenge in the case of non-unique monotonicity of the sensitivity information, and the micro-structural design variables are updated by using the optimality criteria method. Hierarchical topology optimization under pressure loads was demonstrated across varying pressure loads, dimensional scales, and volume constraints. The calculation results show that the pressure loads will have significant impacts on the topological configurations and numerical results of the hierarchical structures, and the calculation time under pressure loads is 10 to 20 times longer than the optimization time under fixed loads. Notably, microscopic configurations differ substantially between 2D and 3D implementations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116119"},"PeriodicalIF":4.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143792188","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Stochastic stability of an elastically constrained wheelset system under additive and multiplicative color noise excitations","authors":"Xinyang Wang ,&nbsp;Jiangang Zhang ,&nbsp;Xinlei An ,&nbsp;Meijuan He ,&nbsp;Lixiang Wei","doi":"10.1016/j.apm.2025.116120","DOIUrl":"10.1016/j.apm.2025.116120","url":null,"abstract":"<div><div>This study investigates the nonlinear dynamic response of an elastically constrained wheelset system, considering the impacts of excitation factors such as track irregularities and control parameters of the wheelset itself. A dynamic model of the wheelset system is established under both multiplicative and additive colored noise excitations, focusing on the system's stability and bifurcation behavior. By applying the stochastic averaging method for quasi-non-integrable Hamilton systems, the model is simplified to a one-dimensional Itô stochastic differential equation. Based on the singular boundary theory and the three-exponential method, the types and conditions of the stability and bifurcation of the system are assessed theoretically. Numerical simulations are conducted to analyze the effects of various parameters on the system's stability, the critical speed for stochastic bifurcation, and the changes in the topology of the probability density function. The results demonstrate that the system's stability and the type of bifurcation are primarily governed by internal excitations. Variations in control parameters lead to changes in the critical speed for instability and alter the type of bifurcation. We reveal the bifurcation trends of the system through time history diagrams, Poincaré sections, and bifurcation diagrams. The system exhibits rich dynamic bifurcation characteristics as parameters vary. Notably, when affected by multiple parameters, the system transitions from periodic to chaotic states in the period-doubling bifurcation manner on the two-parameter plane, with bifurcation structures changing accordingly with parameter variations.</div></div>","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116120"},"PeriodicalIF":4.4,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143826324","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

{"title":"Editorial Addendum for “Influences of longitudinal magnetic field on wave propagation in carbon nanotubes embedded in elastic matrix” [Appl. Math. Model. 34 (2010) 878–889] and “Wave propagation in single-walled carbon nanotube under longitudinal magnetic field using nonlocal Euler–Bernoulli beam theory” [Appl. Math. Model. 36 (2012) 4529–4538]","authors":"Malcolm R. Davidson","doi":"10.1016/j.apm.2025.116113","DOIUrl":"10.1016/j.apm.2025.116113","url":null,"abstract":"","PeriodicalId":50980,"journal":{"name":"Applied Mathematical Modelling","volume":"145 ","pages":"Article 116113"},"PeriodicalIF":4.4,"publicationDate":"2025-03-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767584","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}