A hybrid predator–prey model with general functional responses under seasonal succession alternating between Gompertz and logistic growth

Advances in Difference Equations

article

Hang, Lei¹  Zhang, Long¹  Wang, Xiaowen¹  Li, Hongli¹  Teng, Zhidong¹ 

[1] College of Mathematics and System Sciences, Xinjiang University

关键词: Seasonal succession;    Permanence;    Periodic solution;    Impulsive;    General functional response;   

DOI  :  10.1186/s13662-019-2477-6

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, a hybrid predator–prey model with two general functional responses under seasonal succession is proposed. The model is composed of two subsystems: in the first one, the prey follows the Gompertz growth, and it turns to the logistic growth in the second subsystem since seasonal succession. The two processes are connected by impulsive perturbations. Some very general, weak criteria on the ultimate boundedness, permanence, existence, uniqueness and global attractivity of predator-free periodic solution are established. We find that the hybrid population model with seasonal succession has more survival possibilities of natural species than the usual population models. The theoretical results are illustrated by special examples and numerical simulations.

【 授权许可】

CC BY