DYNAMICAL ANALYSIS OF AN AMENSALISM SYSTEM WITH THE IMPULSIVE HARVESTING
In this paper, we propose and study a new amensalism system with the impulsive harvesting and nonlinear functional response. The existence of the first species-free periodic solution is investigated. We employ the approach and techniques coming from epidemiology and calculate the basic reproduction number for the first species. Using the basic reproduction number, we consider the global attraction of the first species-free periodic solution and uniform persistence of the first species. The existence of the transcritical bifurcations is considered by means of the bifurcation theory. The global stability of positive periodic solutions is discussed. Furthermore, some numerical simulations are given to illustrate our results.
amensalism system, impulsive harvesting, transcritical bifurcations, stability.
Received: April 29, 2021; Accepted: May 29, 2021; Published: August 7, 2021
How to cite this article: Xiangsen Liu and Maoxing Liu, Dynamical analysis of an amensalism system with the impulsive harvesting, Advances in Differential Equations and Control Processes 25(1) (2021), 75-97. DOI: 10.17654/DE025010075
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
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