具有有理非单调泛函响应的Leslie-Gower型捕食-食饵模型的分岔

IF 1.6 3区数学 Q1 MATHEMATICS

Mathematical Modelling and Analysis Pub Date : 2022-08-12 DOI:10.3846/mma.2022.15528

E. González‐Olivares, Adolfo Mosquera-Aguilar, Paulo C. Tintinago-Ruiz, A. Rojas‐Palma

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引用次数: 1

摘要

分析了包含群体防御形成的Leslie-Gower型捕食-被食饵模型。这种由非单调函数描述的现象产生了有趣的动力学;建立了该问题的正性、有界性、解的恒久性和存在三个正平衡点。由于存在一条分离矩阵曲线来划分解的行为，所以解对初始条件非常敏感。两个近轨迹可以有远极限集。建立了奇异性的弱点，表明可以存在两个极限环。数值模拟证实了分析结果。

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Bifurcations in a Leslie-Gower Type predator-prey Model with a rational non-Monotonic Functional response

A Leslie-Gower type predator-prey model including group defense formation is analyzed. This phenomenon, described by a non-monotonic function originates interesting dynamics; positiveness, boundedness, permanence of solutions, and existence of up to three positive equilibria are established. The solutions are highly sensitive to initial conditions since there exists a separatrix curve dividing their behavior. Two near trajectories can have far omega-limit sets. The weakness of a singularity is established showing two limit cycles can exist. Numerical simulations endorse the analytical outcomes.

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