Mathematical Biosciences最新文献_第3页

Predator-prey dynamics with personality-dependent foraging and maturation delay: stability switches, Hopf and Bogdanov-Takens bifurcations 具有人格依赖觅食和成熟延迟的捕食者-猎物动力学：稳定性开关，Hopf和Bogdanov-Takens分岔

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-03-01 Epub Date: 2026-01-07 DOI: 10.1016/j.mbs.2025.109609

Heping Jiang , Shan Gao , Hao Wang

{"title":"Predator-prey dynamics with personality-dependent foraging and maturation delay: stability switches, Hopf and Bogdanov-Takens bifurcations","authors":"Heping Jiang , Shan Gao , Hao Wang","doi":"10.1016/j.mbs.2025.109609","DOIUrl":"10.1016/j.mbs.2025.109609","url":null,"abstract":"<div><div>Individual differences in predator boldness can alter encounter and attack rates, while maturation introduces biologically realistic time lags. We couple these two mechanisms in a Rosenzweig-MacArthur framework by modeling a nonlinear, personality-dependent attack rate and deriving a stage-structured maturation delay for predators, yielding a delay differential equation system. For the delay-free model, we establish positivity and boundedness, characterize boundary and interior equilibria, and provide a complete local bifurcation picture: transcritical and saddle-node bifurcations together with Hopf bifurcations that generate stable cycles; at codimension two, we prove the occurrence of cusp/Bogdanov-Takens points with accompanying homoclinic loops. Introducing maturation delay produces delay-induced complexity: multiple stability switches, sequences of Hopf bifurcations on distinct frequency branches, and global Hopf continua that connect critical delays. Analytical predictions are corroborated numerically via continuation (DDE-BIFTOOL), revealing periodic and quasi-periodic oscillations as well as bistability between coexistence and boundary states. Our results identify personality heterogeneity and developmental timing as interacting drivers of oscillatory and multistable dynamics, and provide parameter thresholds, expressed in biologically interpretable combinations, for when coexistence equilibria lose or regain stability. These findings refine theory for delayed predator-prey interactions and suggest targets (e.g., handling/harvest and juvenile survival) for stabilizing management in systems with behavioral variation.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"393 ","pages":"Article 109609"},"PeriodicalIF":1.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145927974","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

A discrete nonlinear model for HPV immune suppression and evasion HPV免疫抑制和逃避的离散非线性模型。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-03-01 Epub Date: 2026-01-11 DOI: 10.1016/j.mbs.2026.109622

Francisco J. Solis , Luz M. Gonzalez

引用次数: 0

Extinction and persistence of Peregrinus maidis: Stochastic modeling under thermal, density-dependent, and maize off-season constraints 小圆叶菊的灭绝和持久性：热、密度依赖和玉米淡季约束下的随机模型

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-03-01 Epub Date: 2025-12-30 DOI: 10.1016/j.mbs.2025.109607

F.E. Cornes , L. Rivero Gonzalez , M. Otero

{"title":"Extinction and persistence of Peregrinus maidis: Stochastic modeling under thermal, density-dependent, and maize off-season constraints","authors":"F.E. Cornes , L. Rivero Gonzalez , M. Otero","doi":"10.1016/j.mbs.2025.109607","DOIUrl":"10.1016/j.mbs.2025.109607","url":null,"abstract":"<div><div>We developed a stochastic dynamic model to simulate the development of <em>Peregrinus maidis</em>, capturing key ecological interactions and stage-structured population dynamics of this maize-specialist insect. The model incorporates a density-dependent regulation mechanism that acts during the nymphal stage, with population size constrained by a fixed pseudo-carrying capacity. Development rates are temperature-dependent, allowing the model to capture the insect’s sensitivity to environmental conditions. Simulation results reveal two distinct population regimes: extinction and persistence. Persistence is characterized by stable equilibrium distributions across life stages, with peak abundances occurring near 25 <sup>∘</sup>C. In contrast, low temperatures (below 20 <sup>∘</sup>C) and limited resource availability significantly increase extinction probability. The analysis also highlights the buffering role of high pseudo-carrying capacities against demographic collapse. Importantly, our simulations of “quasi-extinction” times indicate that local populations often collapse within 1.5-4 months, a range comparable to or shorter than the harvest-to-sowing interval in many maize-based cropping systems, thereby highlighting the potential role of migration or alternative hosts in sustaining persistence. In this framework, population regulation is governed by density-dependent effects through a constant pseudo-carrying capacity, while temperature modulates development rates. These findings provide a mechanistic basis for understanding how stochasticity, nonlinearity, and environmental drivers shape insect population dynamics, with potential applications for anticipating pest behavior under variable climatic and agronomic conditions.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"393 ","pages":"Article 109607"},"PeriodicalIF":1.8,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145886169","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Complex dynamics and pattern formation in a diffusive epidemic model with an infection-dependent recovery rate 具有感染依赖恢复率的弥漫性流行病模型的复杂动力学和模式形成。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-02-01 Epub Date: 2025-12-18 DOI: 10.1016/j.mbs.2025.109602

Wael El Khateeb , Chanaka Kottegoda , Chunhua Shan

引用次数: 0

Early-stage invasion and spreading speed in a resource-dependent dispersal model 资源依赖扩散模型中的早期入侵和扩散速度。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-02-01 Epub Date: 2025-11-28 DOI: 10.1016/j.mbs.2025.109585

Jean-Baptiste Burie , Arnaud Ducrot , Ousmane Seydi

{"title":"Early-stage invasion and spreading speed in a resource-dependent dispersal model","authors":"Jean-Baptiste Burie , Arnaud Ducrot , Ousmane Seydi","doi":"10.1016/j.mbs.2025.109585","DOIUrl":"10.1016/j.mbs.2025.109585","url":null,"abstract":"<div><div>In this paper, we study the dynamics of biological invasion through complementary modeling frameworks in the context of nonlocal resource-driven dispersal. During the very early stage of invasion, when only a few individuals are present, demographic variability is crucial: extinction may occur even under favorable average conditions. To capture this, we use a branching-process approximation that provides explicit formulas for extinction probabilities, survival conditions, and mean extinction times. At larger scales and higher densities, invasion is described by a deterministic system of nonlinear integro-differential equations. For this system, we establish well-posedness and derive lower and upper bounds on the asymptotic spreading speed. A unifying threshold parameter <span><math><msub><mi>T</mi><mn>0</mn></msub></math></span>, defined as the spectral radius of a next-generation operator, characterizes invasion outcomes: if <span><math><mrow><msub><mi>T</mi><mn>0</mn></msub><mo>≤</mo><mn>1</mn></mrow></math></span>, extinction occurs; if <span><math><mrow><msub><mi>T</mi><mn>0</mn></msub><mo>></mo><mn>1</mn></mrow></math></span>, the invader persists and spreads. Importantly, the threshold derived from the early-stage approximation coincides with that of the deterministic model, thus providing a consistent criterion for invasion success. Finally, numerical simulations illustrate the transition between extinction and persistence and highlight how resource-driven dispersal shapes invasion speed.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"392 ","pages":"Article 109585"},"PeriodicalIF":1.8,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145650660","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Multiseasonal modeling of pesticide resistance in maize stalk borer 玉米茎秆螟虫农药抗性的多季节模拟。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-02-01 Epub Date: 2025-12-09 DOI: 10.1016/j.mbs.2025.109584

B.S. Tchienkou Tchiengang , I. Tankam Chedjou , I.V. Yatat Djeumen , J.J. Tewa

{"title":"Multiseasonal modeling of pesticide resistance in maize stalk borer","authors":"B.S. Tchienkou Tchiengang , I. Tankam Chedjou , I.V. Yatat Djeumen , J.J. Tewa","doi":"10.1016/j.mbs.2025.109584","DOIUrl":"10.1016/j.mbs.2025.109584","url":null,"abstract":"<div><div>This study presents a comprehensive approach to modelling the infestation of maize by the maize stalk borer (<em>Busseola fusca</em>) using both chemical control and cultural practices consisting of post-harvest residue management. Two distinct mathematical models are developed: a semi-discrete integro-differential model and a semi-discrete differential model, each addressing different aspects of pest resistance. The integro-differential model captures the dynamics of quantitative resistance, considering resistance as a continuous variable from fully sensitive to fully resistant. The second model, on the other hand, accounts for qualitative resistance by incorporating discrete genetic mutations. Both models consider key factors such as pesticide decay rates, fitness costs associated with resistance, and the impact of integrated pest management (IPM) strategies. Our findings highlight the critical role of fitness costs in delaying resistance development and demonstrate the enhanced effectiveness of IPM techniques over conventional chemical control. This dual-model approach provides a robust framework for designing sustainable pest management practices in agriculture.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"392 ","pages":"Article 109584"},"PeriodicalIF":1.8,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145746393","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

A compartmental model for epidemiology with human behavior and stochastic effects 具有人类行为和随机效应的流行病学分区模型。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-02-01 Epub Date: 2025-12-02 DOI: 10.1016/j.mbs.2025.109588

Christian Parkinson , Weinan Wang

引用次数: 0

Invasions in a four-species fractured cyclic ecological system 四种断裂循环生态系统中的入侵。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-02-01 Epub Date: 2025-12-08 DOI: 10.1016/j.mbs.2025.109590

E.Y. Siegfried , A. Bayliss , V.A. Volpert

{"title":"Invasions in a four-species fractured cyclic ecological system","authors":"E.Y. Siegfried , A. Bayliss , V.A. Volpert","doi":"10.1016/j.mbs.2025.109590","DOIUrl":"10.1016/j.mbs.2025.109590","url":null,"abstract":"<div><div>We consider the invasion problem for a four-species cyclic ecological community. When the cyclic interspecies competition is stronger than the intraspecies competition (crowding), the system is dominated by two two-species alliances which are the competing entities. We assume that one of the alliances is fractured due to internal competition and predation. The invasion problem can then be reduced to a traveling wave problem and the two alliances will be equally matched under standstill conditions, i.e., when the speed of the traveling wave is zero. We determine the standstill condition and the role of fracturing on standstill in two regimes: (i) balanced competition, when the interspecies competition is comparable to the intraspecies competition, so that there is a significant region where the four species can live together and (ii) strong competition, where species from the two alliances cannot coexist except in a very narrow band. We employ a suitable coordinate transformation for the regime of balanced competition and a suitable linearization for the case of strong competition. In both cases we determine the role of fracturing on standstill conditions. We validate our results with numerical computations.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"392 ","pages":"Article 109590"},"PeriodicalIF":1.8,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145727887","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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

Corrigendum to: "Computational optimization for S-type biological systems: Cockroach genetic algorithm" [Math. Biosci. 245 (2013) 299–313] “s型生物系统的计算优化：蟑螂遗传算法”的勘误表。生物科学学报，2013(5):379 - 379。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-02-01 Epub Date: 2025-12-18 DOI: 10.1016/j.mbs.2025.109604

Shinq-Jen Wu, Sing-Yu Lu

引用次数: 0

Hopf bifurcation in a coupled age-structured and ODE system with n-predators and m-prey 具有n-捕食者和m-被捕食者的年龄结构和ODE耦合系统的Hopf分岔。

IF 1.8 4区数学

Mathematical Biosciences Pub Date : 2026-02-01 Epub Date: 2025-12-19 DOI: 10.1016/j.mbs.2025.109603

San-Xing Wu, Zhi-Cheng Wang

{"title":"Hopf bifurcation in a coupled age-structured and ODE system with n-predators and m-prey","authors":"San-Xing Wu, Zhi-Cheng Wang","doi":"10.1016/j.mbs.2025.109603","DOIUrl":"10.1016/j.mbs.2025.109603","url":null,"abstract":"<div><div>In this paper, we investigate a coupled age-structured and ODE system involving <em>n</em>-predators and <em>m</em>-prey. First, we transform the original coupled system with ODEs and PDEs into a non-densely defined abstract Cauchy problem. Second, we explore the existence and uniqueness of the positive equilibrium by using integrated semigroup theory, and directly derive the Hopf bifurcation theorem corresponding to the coupled system. This method overcomes the shortcomings of the biological assumptions and methodologies traditionally associated with the use of the condition <span><math><mrow><mi>V</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow><mo>=</mo><msubsup><mo>∫</mo><mrow><mn>0</mn></mrow><mrow><mo>+</mo><mi>∞</mi></mrow></msubsup><mi>v</mi><mrow><mo>(</mo><mi>t</mi><mo>,</mo><mi>a</mi><mo>)</mo></mrow><mi>d</mi><mi>a</mi></mrow></math></span> to study the existence of Hopf bifurcation. Particularly, we give a simple age-structured predator-prey system with 1-predator and 2-preys to demonstrate the application of Hopf bifurcation theorem for the coupled system. Finally, we verify the existence of Hopf bifurcation for this 1-predator and 2-preys system by combining theoretical analysis and numerical simulations.</div></div>","PeriodicalId":51119,"journal":{"name":"Mathematical Biosciences","volume":"392 ","pages":"Article 109603"},"PeriodicalIF":1.8,"publicationDate":"2026-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145806605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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