Nonlinear Analysis-Real World Applications最新文献_第2页

Controllability of non-dissipative heat equations under unilateral control constraints 单侧控制约束下非耗散热方程的可控性

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-19 DOI: 10.1016/j.nonrwa.2025.104578

Jilei Huang, Peidong Lei, Junquan Zhou

引用次数: 0

Existence of solutions for time-dependent Signorini-type problems in linearised viscoelasticity 线性化粘弹性中时变signorini型问题解的存在性

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.2025.104570

Paolo Piersanti

引用次数: 0

Homogenization and 3D-2D dimension reduction of a functional on manifold valued Sobolev spaces 流形值Sobolev空间上泛函的均匀化和三维-二维降维

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-17 DOI: 10.1016/j.nonrwa.2025.104579

Michela Eleuteri , Luca Lussardi , Andrea Torricelli , Elvira Zappale

引用次数: 0

Pattern dynamics in a reaction-diffusion predator-prey model with fear response delay 具有恐惧反应延迟的反应-扩散捕食者-猎物模型的模式动力学

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2025-12-13 DOI: 10.1016/j.nonrwa.2025.104574

Weidong Qin, Yunxian Dai, Doudou Lou

{"title":"Pattern dynamics in a reaction-diffusion predator-prey model with fear response delay","authors":"Weidong Qin, Yunxian Dai, Doudou Lou","doi":"10.1016/j.nonrwa.2025.104574","DOIUrl":"10.1016/j.nonrwa.2025.104574","url":null,"abstract":"<div><div>This paper investigates a delayed predator-prey model incorporating fear effects, prey refuge, Crowley-Martin type functional response, and cross-diffusion. First, we analyze the existence and stability of the positive equilibrium of the non-delay model. Then, we investigate the conditions for the occurrence of Turing instability in the delayed model. The amplitude equation is derived using the multiple-scale perturbation method, revealing the relationship between pattern selection and system parameters. Meanwhile, some numerical simulations are conducted to validate the accuracy of the theoretical analysis. The results demonstrate that varying control parameters can induce diverse patterns, including spots, stripes, and mixed patterns. Additionally, we find that the fear response delay affects the stabilization time of patterns, and as the delay increases, the patterns gradually become unstable. This study highlights the impact of the fear response delay on the stability and pattern formation in predator-prey systems, providing theoretical insights into the complexity of population dynamics.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104574"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791665","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

Impulsive pseudo-parabolic equation with nonlinear Robin boundary condition 具有非线性Robin边界条件的脉冲伪抛物方程

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-31 DOI: 10.1016/j.nonrwa.2026.104605

Stanislav Antontsev , Ivan Kuznetsov , Serik Aitzhanov

{"title":"Impulsive pseudo-parabolic equation with nonlinear Robin boundary condition","authors":"Stanislav Antontsev , Ivan Kuznetsov , Serik Aitzhanov","doi":"10.1016/j.nonrwa.2026.104605","DOIUrl":"10.1016/j.nonrwa.2026.104605","url":null,"abstract":"<div><div>In the present paper, we study impulsive pseudo-parabolic equation with the nonlinear Robin boundary condition. In general, impulsive differential equations contain an approximation φ<sub><em>n</em></sub>(<em>t</em>) of the Dirac delta function depending on <span><math><mrow><mi>n</mi><mo>∈</mo><mi>N</mi></mrow></math></span>. The support of φ<sub><em>n</em></sub>(<em>t</em>) is the time interval [0, 1/<em>n</em>]. In order to pass to the limit as <em>n</em> → ∞, we apply rescaling <span><math><mrow><mi>ϑ</mi><mo>=</mo><mi>t</mi><mi>n</mi><mo>:</mo><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>/</mo><mi>n</mi><mo>]</mo><mo>↦</mo><mo>[</mo><mn>0</mn><mo>,</mo><mn>1</mn><mo>]</mo></mrow></math></span> and get a new initial-boundary value problem on an infinitesimal initial layer ϑ ∈ [0, 1]. In the limit, this problem allows us to calculate new initial data, which implies that there is a gap in the limit solution at <span><math><mrow><mi>t</mi><mo>=</mo><mn>0</mn></mrow></math></span>. In the rest of the domain, outside of an infinitesimal initial layer, we apply shifting <span><math><mrow><mover><mrow><mi>t</mi></mrow><mo>˜</mo></mover><mo>:</mo><mo>=</mo><mi>t</mi><mo>−</mo><mfrac><mn>1</mn><mi>n</mi></mfrac></mrow></math></span> and obtain an initial boundary value problem in the limit without a singular source term, but with a new initial data.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104605"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188910","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

Analysis of nonconstant steady states in a cross-diffusive predator-prey system with Allee effect and generalized Holling IV response 具有Allee效应和广义Holling IV响应的交叉扩散捕食-食饵系统的非恒定稳态分析

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-02-03 DOI: 10.1016/j.nonrwa.2026.104614

Henan Wang , Ping Liu

{"title":"Analysis of nonconstant steady states in a cross-diffusive predator-prey system with Allee effect and generalized Holling IV response","authors":"Henan Wang , Ping Liu","doi":"10.1016/j.nonrwa.2026.104614","DOIUrl":"10.1016/j.nonrwa.2026.104614","url":null,"abstract":"<div><div>This paper investigates a diffusive predator-prey model incorporating Allee effects in prey and a generalized Holling type IV functional response. The system features cross-diffusion terms to account for interspecific population pressures, significantly extending classical reaction-diffusion frameworks. We rigorously analyze the existence and nonexistence of nonconstant positive steady states using advanced mathematical methods, including the energy integral approach and Leray-Schauder degree theory. Key theoretical innovations establish that: (i) Nonconstant solutions are precluded when the criterion <span><math><mrow><msup><mi>d</mi><mi>σ</mi></msup><mrow><mo>(</mo><msub><mi>C</mi><mn>3</mn></msub><mo>+</mo><msub><mi>C</mi><mn>4</mn></msub><mo>)</mo></mrow><mo><</mo><mn>2</mn></mrow></math></span> holds and diffusion coefficients (<em>d</em><sub>1</sub>, <em>d</em><sub>2</sub>) reside in a specific planar region; (ii) Conversely, sufficiently large cross-diffusion coefficient <em>d</em><sub>4</sub> guarantees the emergence of nonconstant steady states under explicit parameter constraints. These steady states correspond biologically to Turing patterns, indicative of spatially heterogeneous species coexistence. Extensive numerical simulations in 2D spatial domains confirm theoretical predictions, demonstrating pattern formation (e.g., spots, stripes) driven by cross-diffusion. The study provides novel analytical and computational insights into ecological pattern generation, with implications for spatial ecology and conservation strategies.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104614"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146188911","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

Seasonal dynamics and control of malaria: A non-autonomous model incorporating vaccination and drug resistance 季节性动态和疟疾控制：一个包含疫苗接种和耐药性的非自治模型

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.2025.104584

Ifeanyi Sunday Onah

{"title":"Seasonal dynamics and control of malaria: A non-autonomous model incorporating vaccination and drug resistance","authors":"Ifeanyi Sunday Onah","doi":"10.1016/j.nonrwa.2025.104584","DOIUrl":"10.1016/j.nonrwa.2025.104584","url":null,"abstract":"<div><div>This study develops and analyzes a seasonally forced malaria transmission model that incorporates vaccination, treatment, and the emergence of drug-resistant parasite strains. Using the periodic next-generation approach, we derive the vaccination-adjusted basic reproduction number <em>R<sub>v</sub></em> and establish conditions for the stability of the disease-free periodic solution. When <em>R<sub>v</sub></em> < 1, we show that malaria cannot persist and the disease-free state is globally asymptotically stable. Conversely, for <em>R<sub>v</sub></em> > 1, the infection is uniformly persistent and the system admits at least one positive <em>T</em>-periodic solution. A reduced autonomous version of the model reveals biologically interpretable thresholds for the dominance of either sensitive or resistant strains as well as coexistence scenarios. The model is calibrated using monthly malaria case data from Nigeria (2018–2024). The estimated reproduction number remains consistently above unity, indicating that malaria transmission is sustained under current intervention levels. Numerical simulations confirm these analytical results and illustrate the influence of vaccination coverage and drug resistance on long-term disease dynamics. Our findings highlight the need for strengthened intervention strategies to reduce <em>R<sub>v</sub></em> below one and interrupt sustained transmission.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104584"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145841572","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

Limit cycles on rigid piecewise smooth dynamical systems governed by even polynomials 偶多项式控制的刚性分段光滑动力系统的极限环

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.2025.104581

L.F. Gonçalves, A.C.T. Sánchez, D.J. Tonon

{"title":"Limit cycles on rigid piecewise smooth dynamical systems governed by even polynomials","authors":"L.F. Gonçalves, A.C.T. Sánchez, D.J. Tonon","doi":"10.1016/j.nonrwa.2025.104581","DOIUrl":"10.1016/j.nonrwa.2025.104581","url":null,"abstract":"<div><div>In this work, we establish an upper bound for the number of crossing limit cycles in a class of piecewise smooth dynamical systems. The system is formed by a linear rigid center and a rigid center governed by a homogeneous polynomial of even degree <em>n</em>, separated by the straight line <span><math><mrow><mi>x</mi><mo>=</mo><mn>0</mn></mrow></math></span>. Our results complement the work of [1], which addressed the odd-degree case. Specifically, we prove that if the parameters satisfy <span><math><mrow><msub><mi>d</mi><mn>2</mn></msub><mo>=</mo><msub><mi>M</mi><mn>2</mn></msub></mrow></math></span>, the system admits at most <span><math><mrow><mo>(</mo><mi>n</mi><mo>−</mo><mn>2</mn><mo>)</mo><mo>/</mo><mn>2</mn></mrow></math></span> limit cycles. Furthermore, for the specific case <span><math><mrow><mi>n</mi><mo>=</mo><mn>4</mn></mrow></math></span>, assuming <em>d</em><sub>2</sub> ≠ <em>M</em><sub>2</sub> and <span><math><mrow><msub><mi>d</mi><mn>2</mn></msub><mo>=</mo><mn>0</mn></mrow></math></span>, we show that the system has at most one limit cycle, and this upper bound is attained. This study advances the analysis of this family of systems by covering the even-degree case under certain conditions on the affine transformation.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104581"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145841571","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

Bifurcation analysis and optimal harvesting of an intraguild predation three-level food web model with harvesting on top two levels 一种最上层为两层的三层捕食食物网模型的分岔分析与最优收获

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-29 DOI: 10.1016/j.nonrwa.2026.104610

Petar Ćirković , Jelena V. Manojlović

{"title":"Bifurcation analysis and optimal harvesting of an intraguild predation three-level food web model with harvesting on top two levels","authors":"Petar Ćirković , Jelena V. Manojlović","doi":"10.1016/j.nonrwa.2026.104610","DOIUrl":"10.1016/j.nonrwa.2026.104610","url":null,"abstract":"<div><div>The present paper discusses the dynamics and optimal harvesting of an intraguild predation three-level food web model incorporating nonlinear Michaelis-Menten type harvesting on the intermediate predator and proportional harvesting on the intraguild predator. The positivity and boundedness of solutions, as well as the existence and stability of equilibria, are established, and unconditional survival of the prey species is observed. The effect of harvesting is studied through a detailed bifurcation analysis, revealing rich dynamical behaviors and threshold harvesting levels that prevent predator extinction. The existence of saddle-node, transcritical, pitchfork, and Hopf bifurcations is shown. The qualitative dynamics are discussed through two-parameter bifurcation diagram. Parameter regions of extinction and coexistence are identified. At higher harvesting rates, Bogdanov-Takens and generalized Hopf bifurcations reveal parametric regions in which either both predator species will eventually be driven to extinction or all three species may coexist, depending on the initial values. At lower harvesting rates, Zero-Hopf and generalized Hopf bifurcations reveal parametric regions in which either intermediate predator eventually goes extinct or all three species may coexist, depending on the initial population densities. It is shown that the system can exhibit multistability and sensitivity to initial conditions, with bistability between coexistence attractors and predator-free attractors. From an economic perspective, an optimal harvesting policy is derived, maximizing the total economic return from harvesting while preventing overharvesting and ensuring ecological sustainability. A numerical example shows that both economic benefits and ecological balance can be achieved by controlling both predators harvesting rates.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"91 ","pages":"Article 104610"},"PeriodicalIF":1.8,"publicationDate":"2026-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146077471","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

The transition of Riemann solutions for a simplified liquid-gas two-phase modified Chaplygin flow model 简化液气两相修正Chaplygin流动模型的Riemann解的转捩

IF 1.8 3区数学

Nonlinear Analysis-Real World Applications Pub Date : 2026-10-01 Epub Date: 2026-01-21 DOI: 10.1016/j.nonrwa.2026.104602

Meina Sun

引用次数: 0