Analysis of a predator-prey model with herd behavior and disease in prey incorporating prey refuge
作者机构：Department of Mathematics Indian Institute of Engineering Science and Technology ShibpurHowrah-711103India
出 版 物：《International Journal of Biomathematics》 (生物数学学报（英文版）)
年 卷 期：2019年第12卷第1期
页 面：133-171页
核心收录：
学科分类：0701[理学-数学] 0812[工学-计算机科学与技术（可授工学、理学学位）]
基 金：University Grants Commission UGC
主 题：Allee effect herd behavior infected prey refuge extinction bifurcations
摘 要：In this work,we have introduced an eco-epidemiological model of an infected predator prey *** of prey refuge gives that a fraction of the infected prey is available to the predator for ***,to make the model more realistic to the environment,we have introduced strong Allee effect in the susceptible *** and positivity of the solution have been *** stability conditions of the equilibrium points have been found with the help of Routh-Hurwitz criterion and it has been observed that if a prey population is infected with a lethal disease,then both the prey(susceptible and infected)and predator cannot survive simultaneously in the system for any parametric *** disease transmission rate and the attack rate on the susceptible have an important role to control the system *** different values of these two key parameters,we have got only healthy or disease-free or predation-free or a fluctuating disease-free or even a fluctuating predator-free system with some certain parametric conditions.
维普期刊数据库