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A Delayed Predator-Prey Model with Fear Effect and Cannibalism: 《Journal of Applied Mathematics and Physics》2025年第2期506-524,共19页Guoqing Li Xiaolin Lin Shaoyi Geng; In this paper, we consider the fear effect and gestation delay, and then establish a delayed predator-prey model with cannibalism. Firstly, we prove the well-posedness of the model. Secondly, the existence and stabili...; 关键词：Predator-Prey Model Fear Effect CANNIBALISM Stability Hopf Bifurcation

Dynamics of a Class of Multiple Sclerosis Models with Saturated Activation Rates of T Cells: 《Journal of Applied Mathematics and Physics》2025年第2期525-552,共28页Yu Su; Many autoimmune diseases exhibit an alternating pattern of relapses and remissions in which the apparent self-tolerance phase is interrupted by periodic autoimmune episodes. In this paper, we introduce a class of term...; 关键词：Multiple Sclerosis Model Saturated Functional Response Equilibrium Point STABILITY Hopf Bifurcation

A Type of Hopf Bifurcation in Models with Holling-II Type Multiple Sclerosis: 《Journal of Applied Mathematics and Physics》2025年第1期327-347,共21页Manhui He; Multiple autoimmune diseases often exhibit a cyclic pattern of relapse and remission, with significant periods of loss of self-tolerance being interrupted by recurrent autoimmune events. In this article, we explore a ...; 关键词：Multiple Sclerosis Model Holling-II Type Functional Response Equilibrium Point STABILITY Hopf Bifurcation

Global Dynamics in a Predator-Prey Model with Allee Effect: 《Journal of Applied Mathematics and Physics》2024年第7期2377-2385,共9页Tianjing Wang Fuqin Sun; Since the last century, various predator-prey systems have garnered widespread attention. In particular, the predator-prey systems have sparked significant interest among applied mathematicians and ecologists. From th...; 关键词：Bazykin Allee Effect Hopf Bifurcation

Bifurcation and Turing Pattern Formation in a Diffusion Modified Leslie-Gower Predator-Prey Model with Crowley-Martin Functional Response: 《Journal of Applied Mathematics and Physics》2024年第6期2190-2211,共22页Dong Wang Yani Ma; In this paper, we study a modified Leslie-Gower predator-prey model with Smith growth subject to homogeneous Neumann boundary condition, in which the functional response is the Crowley-Martin functional response term....; 关键词：Modified Leslie-Gower Model Crowley-Martin Function Response Hopf Bifurcation Transcritical Bifurcation Turing Instability

Local Dynamics Analysis of a Four-Dimensional Hyperchaotic Lorenz System: 《Journal of Applied Mathematics and Physics》2023年第10期2789-2802,共14页Yu Ren Liangqiang Zhou; The local dynamical behaviors of a four-dimensional hyperchaotic Lorenz system, including stability and bifurcations, are investigated in this paper by analytical and numerical methods. The equilibriums and their stab...; 关键词：Hyperchaotic Lorenz System STABILITY Pitchfork Bifurcation Hopf Bifurcation Central Manifold

Hopf Bifurcation of Nonresident Computer Virus Model with Age Structure and Two Delays Effects: 《Journal of Applied Mathematics and Physics》2023年第8期2318-2342,共25页Yaoyu Dang Hongwu Tan Hui Cao; This paper constructed and studied a nonresident computer virus model with age structure and two delays effects. The non-negativity and boundedness of the solution of the model have been discussed, and then gave the b...; 关键词：The Computer Virus Model AGE-STRUCTURE Two Delays Stability Hopf Bifurcation

Existence of Supercritical Hopf Bifurcation on a Type-Lorenz System: 《Journal of Applied Mathematics and Physics》2023年第3期780-789,共10页Evodio Muñoz-Aguirre Jorge Alvarez-Mena Pablo Emilio Calderón-Saavedra Josué Ramírez-Ortega Francisco Gabriel Hernández-Zamora; In this paper, a system of Lorenz-type ordinary differential equations is considered and, under some assumptions about the parameter space, the presence of the supercritical non-degenerate Hopf bifurcation is demonstr...; 关键词：Lorenz-Type System Subcritical Hopf Bifurcation Supercritical Hopf Bifurcation Hopf Theorem

Bifurcationing Analysis of Predator-Prey Diffusive System Based on Bazykin Functional Response: 《Journal of Applied Mathematics and Physics》2022年第12期3836-3842,共7页Mingyang Zhao Fuqin Sun; A predator-prey diffusion system with a Bazykin functional response is studied. The existence of equilibrium points, the stability of normal number equilibrium points and the existence of Hopf bifurcationes are invest...; 关键词：Bazykin Functional Response Diffusion System EXISTENCE STABILITY Hopf Bifurcation

Local Dynamics of a New Four-Dimensional Quadratic Autonomous System: 《Journal of Applied Mathematics and Physics》2022年第9期2632-2648,共17页Sengen Hu Liangqiang Zhou; In this manuscript, Local dynamic behaviors including stability and Hopf bifurcation of a new four-dimensional quadratic autonomous system are studied both analytically and numerically. Determining conditions of equil...; 关键词：Four-Dimensional Autonomous System Routh-Hurwitz Criterion Hopf Bifurcation HYPERCHAOS

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