Open AccessPeriodic Solution of Impulsive Predator-Prey Model with Stage Structure for the Prey undercrowding effect
Author(s) -
Yan Yan,
Qingmin Wang,
Zhanji Gui
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1903/1/012032
Subject(s) - phase portrait , predation , numerical continuation , stage (stratigraphy) , mathematics , control theory (sociology) , continuation , computer simulation , predator , bifurcation , computer science , control (management) , physics , ecology , statistics , artificial intelligence , biology , programming language , paleontology , quantum mechanics , nonlinear system
The theoretical aim of this paper is to study the existence of periodic solution in a predator-prey model with stage structure for the prey under the corresponding impulsive perturbations and undercrowding effect. For this purpose, Mawhin’s continuation theorem has been applied. As the result, the researcher of the paper found a sufficient condition of the existence of periodic solution. Finally, under impulsive control, numerical simulations are given to substantiate this theoretical result. Meanwhile, the phase portrait of this numerical simulations can illustrate various dynamical behaviors of the system.