Dynamics of a diffusion-advection Lotka-Volterra competition model with stage structure in a spatially heterogeneous environment

Liu, Di; Wang, Hao; Jiang, Weihua

doi:10.1016/j.jde.2023.07.004

Cited by 1 publication

(1 citation statement)

References 35 publications

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“…Regarding to the reason, some researchers have successfully developed and analyzed the stagestructure problem in the species population based on the mathematical model. For examples: Chen and Shi [1], Zhao and Yuan [2], Ma et al [3] and Liu et al [4] study dynamics of the stagestructure Lotka-Volterra model. Due to the stage-structure for interaction between prey and predator, Beay and Saija [5], Beay et al [6], and Moustafa et al [7] studied the dynamics behavior by using Rosenzweig-MacArthur model.…”

Section: Introductionmentioning

confidence: 99%

A Stage-structure Leslie-Gower Model with Linear Harvesting and Disease in Predator

Beay,

Leleury,

Rijoly

et al. 2023

Jambura J. Biomath.

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The growth dynamics of various species are affected by various aspects. Harvesting interventions and the spread of disease in species are two important aspects that affect population dynamics and it can be studied. In this work, we consider a stage-structure Leslie–Gower model with linear harvesting on the both prey and predator. Additionally, we also consider the infection aspect in the predator population. The population is divided into four subpopulations: immature prey, mature prey, susceptible predator, and infected predator. We analyze the existences and stabilities of feasible equilibrium points. Our results shown that the harvesting in prey and the disease in predator impacts the behavioral of system. The situation in the system is more complex due to disease in the predator population. Some numerical simulations are given to confirm our results.

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