Dynamical behavior of a delayed prey-predator-scavenger system with fear effect and linear harvesting  

作　　者：Xin-You Meng Jie Li 

机构地区：[1]School of Science,Lanzhou University of Technology Lanzhou,Gansu 730050,P.R.China [2]College of Technology and Engineering Lanzhou University of Technology Lanzhou,Gansu 730050,P.R.China

出　　处：《International Journal of Biomathematics》2021年第4期159-188,共30页生物数学学报（英文版）

基　　金：This work is supported by the National Natural Science Foundation of China(Grant Nos.11661050 and 11861044);the HongLiu First-class Disciplines Development Program of Lanzhou University of Technology.

摘　　要：In this paper,we propose a delayed prey-predator-scavenger system with fear effect and linear harvesting.First,we discuss the existence and stability of all possible equilibria.Next,we investigate the existence of Hopf bifurcation of the delayed system by regarding the gestation period of the scavenger as a bifurcation parameter.Furthermore,we obtain the direction of Hopf bifurcation and the stability of bifurcating periodic solutions by using the normal form theory and the central manifold theorem.In addition,we give the optimal harvesting strategy of the delayed system based on Pontryagin's maximum principle with delay.Finally,some numerical simulations are carried out to verify our theoretical results.

关 键 词：Prey-predator-scavenger fear effect time delay Hopf bifurcation optimal harvesting policy 

分 类 号：O17[理学—数学]