Nonlinear Analysis-Real World Applications最新文献

Threshold dynamics of a reaction-diffusion-advection schistosomiasis model with seasonality 具有季节性的反应-扩散-平流型血吸虫病模型的阈值动力学

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-12-01 Epub Date: 2026-02-04 DOI: 10.1016/j.nonrwa.2026.104617

Yijie Zha , Xun Cao

{"title":"Threshold dynamics of a reaction-diffusion-advection schistosomiasis model with seasonality","authors":"Yijie Zha , Xun Cao","doi":"10.1016/j.nonrwa.2026.104617","DOIUrl":"10.1016/j.nonrwa.2026.104617","url":null,"abstract":"<div><div>This paper proposes a reaction-diffusion-advection schistosomiasis model with seasonality based on the life cycle of schistosomiasis (humans, eggs, snails, and cercariae). Using the next generation operator theory, we define the basic reproduction number <span><math><msub><mi>R</mi><mn>0</mn></msub></math></span> that characterizes the transmission potential of schistosomiasis, and further reveal the threshold dynamics of the system through the monotone dynamical system theory. Specifically, if <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo>≤</mo><mn>1</mn></mrow></math></span>, the disease-free periodic solution is globally asymptotically stable, meaning that schistosomiasis will die out; if <span><math><mrow><msub><mi>R</mi><mn>0</mn></msub><mo>></mo><mn>1</mn></mrow></math></span>, the system admits a unique positive periodic solution that is globally asymptotically stable, indicating that the disease will break out. Numerically, we use data from Ourinhos, Brazil, to analyze the impact of diffusion rates, spatial heterogeneity, advection rates, and seasonality on the transmission of schistosomiasis.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"92 ","pages":"Article 104617"},"PeriodicalIF":1.8,"publicationDate":"2026-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146116723","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

Well-posedness results and global attractors for a generalized coupled dynamical system 一类广义耦合动力系统的适定性结果和全局吸引子

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-12-01 Epub Date: 2026-02-04 DOI: 10.1016/j.nonrwa.2026.104615

Xiuwen Li , Zhenhai Liu , Jing Zhao

引用次数: 0

Nonlinear variational systems related to contact models with implicit material laws 具有隐式物质定律的接触模型非线性变分系统

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-07 DOI: 10.1016/j.nonrwa.2025.104600

Andaluzia Matei

引用次数: 0

Propagation dynamics of a Zika virus model with diffusion and constant recruitment 具有扩散和持续招募的寨卡病毒模型的传播动力学

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-18 DOI: 10.1016/j.nonrwa.2025.104562

Lin Zhao, Yini Liu

引用次数: 0

Spatiotemporal patterns induced by nonlocal prey competition and prey-taxis in a diffusive Rosenzweig-MacArthur system 弥漫性Rosenzweig-MacArthur系统中非局部猎物竞争和猎物趋向性诱导的时空格局

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-15 DOI: 10.1016/j.nonrwa.2025.104561

Xinshan Dong , Ben Niu , Lin Wang

{"title":"Spatiotemporal patterns induced by nonlocal prey competition and prey-taxis in a diffusive Rosenzweig-MacArthur system","authors":"Xinshan Dong , Ben Niu , Lin Wang","doi":"10.1016/j.nonrwa.2025.104561","DOIUrl":"10.1016/j.nonrwa.2025.104561","url":null,"abstract":"<div><div>We investigate a diffusive Rosenzweig-MacArthur system that includes nonlocal prey competition and prey-taxis under Neumann boundary conditions. Initially, we establish the global existence and boundedness of solutions for arbitrary spatial dimensions and small prey-taxis sensitivity coefficient. Subsequently, we analyze the local stability of the constant steady-state solution. Using the Lyapunov-Schmidt reduction method, we explore several bifurcations near the positive constant steady-state: steady-state bifurcation, Hopf bifurcation, and their interaction. Finally, numerical simulations are performed to validate our theoretical findings and illustrate complex spatiotemporal patterns. By selecting appropriate parameters and initial conditions, our simulations reveal the coexistence of a pair of stable spatially nonhomogeneous steady-states and stable spatially homogeneous periodic solutions, which indicates the system exhibits tristability, that is, the coexistence of three distinct stable states. Moreover, our results demonstrate that transient patterns transition from spatially nonhomogeneous periodic solutions to spatially nonhomogeneous steady-state and spatially homogeneous periodic solutions.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104561"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791662","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

On the existence, uniqueness and regularity of solutions of micropolar fluid flow through porous medium in a curved pipe 微极流体在弯曲管中流过多孔介质解的存在性、唯一性和规律性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-02-04 DOI: 10.1016/j.nonrwa.2026.104616

A. Prabal, M. Devakar

引用次数: 0

Long time behavior for a Lotka-Volterra competition diffusion system in periodic medium 周期介质中Lotka-Volterra竞争扩散系统的长时间行为

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-24 DOI: 10.1016/j.nonrwa.2025.104560

Liyan Pang , Xiao Zhang

引用次数: 0

Remarks on the orbital stability for the sine-Gordon equation 关于正弦戈登方程的轨道稳定性的注释

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-22 DOI: 10.1016/j.nonrwa.2025.104585

Fábio Natali

引用次数: 0

Some qualitative properties of solution to a fractional thermo-viscoelastic system with nonlinear sources 非线性源分数阶热粘弹性系统溶液的一些定性性质

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-15 DOI: 10.1016/j.nonrwa.2025.104569

Nguyen Van Y , Le Cong Nhan , Le Xuan Truong

{"title":"Some qualitative properties of solution to a fractional thermo-viscoelastic system with nonlinear sources","authors":"Nguyen Van Y , Le Cong Nhan , Le Xuan Truong","doi":"10.1016/j.nonrwa.2025.104569","DOIUrl":"10.1016/j.nonrwa.2025.104569","url":null,"abstract":"<div><div>In the paper, we consider a fractional thermo-viscoelastic system with nonlinear sources and study some of its qualitative properties based on the interaction of the fractional viscoelastic and thermal damping with the external forces. By using the theory of linear Volterra differential-integral equations of convolution type and the Banach fixed point theorem, we first prove the local well-posedness and maximal regularity of the weak solution. Then by using the variational and potential well methods, we give a sufficient condition for the continuity in time of the local weak solution when it starts in the potential wells. Besides that the asymptotic behavior of global solution is also concerned, unlike the classical thermoelasticity where the total energy does not decays uniformly, since the effect of the fractional viscoelastic damping, we show that the total energy shall decay uniformly. In addition, its decay rate is given explicitly and optimally in the sense of Lasiecka et. al.[1]. Finally, since the presence of the nonlinear sources, we show that the blow-up phenomenon may occur in finite time provided that the solution starts outside the potential wells and the relaxation function is small in some sense. Also notice that the effect of the thermal damping is not enough to make the total energy decays to zero, but it could retards the blow-up phenomenon.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104569"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791711","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

Traveling waves in a bacterial colony model 细菌菌落模型中的行波

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-15 DOI: 10.1016/j.nonrwa.2025.104577

Manjun Ma, Kaili Wang, Dan Li

引用次数: 0