Results 71 to 80 of about 909 (172)
MathematicsThis paper delves into the dynamics of a discrete-time predator–prey system. Initially, it presents the existence and stability conditions of the fixed points.
Ming Liu, Linyi Ma, Dongpo Hu
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An Algebraic Approach to Analyze an MSEIR Epidemic Model
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study introduces a fully algorithmic framework for analyzing the dynamics of an MSEIR (Maternal, Susceptible, Exposed, Infectious, Recovered) epidemic model. Unlike traditional approaches that rely on heuristic, model‐specific Lyapunov functions for global stability or manual algebraic manipulations for finding equilibria, we employ computational ...
Adamou Otto +3 more
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Journal of Biological DynamicsThe fear preoften leads to changes in the physiological characteristics of the prey. Different stages of prey exhibit different physiological behaviours, such as susceptibility to predator risk, which often leads to Allee effect.
Weili Kong, Yuanfu Shao
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Difference equations as models of evolutionary population dynamics
Journal of Biological Dynamics, 2019 We describe the evolutionary game theoretic methodology for extending a difference equation population dynamic model in a way so as to account for the Darwinian evolution of model coefficients.
J. M. Cushing
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Advances in Difference Equations, 2020 In this paper, a two-species competitive model with Michaelis–Menten type harvesting in the first species is studied. We have made a detailed mathematical analysis of the model to describe some important results that may be produced by the interaction of
Xiangqin Yu, Zhenliang Zhu, Zhong Li
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Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Crime remains a persistent global challenge with profound socioeconomic implications. This paper develops a deterministic mathematical model to analyze crime dynamics in sub‐Saharan Africa, specifically evaluating the impacts of poverty, unemployment, drug abuse, illiteracy, and socioeconomic inequality.
Bilali Mataru, Mohammad Rezwan Habib
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Bifurcations and chaos in a novel discrete economic system
Advances in Mechanical Engineering, 2019 In this article, a novel discrete system based on an economic model is introduced. Conditions for local stability of the model’s fixed points are obtained. Existence of supercritical Neimark–Sacker bifurcation is shown around the game’s Nash equilibrium.
A Al-khedhairi, AE Matouk, SS Askar
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Non-autonomous bifurcation in impulsive systems
Electronic Journal of Qualitative Theory of Differential Equations, 2013 This is the first paper which considers non-autonomous bifurcations in impulsive differential equations. Impulsive generalizations of the non-autonomous pitchfork and transcritical bifurcation are discussed. We consider scalar differential equation with
Marat Akhmet, Ardak Kashkynbayev
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Complex Dynamics of a Predator–Prey System With Fear Effect in Prey
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.This study investigates the dynamical consequences of predator‐induced fear in a predator–prey system by integrating nonlinear fear effects, intraspecific competition, and Holling type II predation. We analyze both continuous‐ and discrete‐time formulations to capture a wide spectrum of ecological dynamics.
Anal Chatterjee +4 more
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Dynamical behaviors of a two-competitive metapopulation system with impulsive control
Advances in Difference Equations, 2017 In this paper, we study the dynamical behaviors of a two-competitive metapopulation system with impulsive control and focus on the stable coexistence of the superior and inferior species.
Shasha Tian, Yepeng Xing, Tao Ma
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