CAJ | 학술논문

建立了一类食饵受寄生虫感染的生态-流行病模型,讨论了系统的非负不变性和解的有界性,得到了系统平衡点局部渐进稳定的充分条件;研究了系统的持续性,给出了系统产生Hopf分支的条件.
건립료일류식이수기생충감염적생태-류행병모형,토론료계통적비부불변성화해적유계성,득도료계통평형점국부점진은정적충분조건;연구료계통적지속성,급출료계통산생Hopf분지적조건.
In this paper,a predator-prey system in which some members of the prey population and all predators are subjected to infection by a parasite is analyzed.Mathematical analysis of the model equations with regard to invariance of nonnegativity,boundedness of solutions,nature of equilibrium,permanence and local stability is given.It is also shown that of some parameter values,its positive equlibrium is asymptotically stable,but for other parameter values,it is unstable and a surrounding periodic solution appears by Hopf bifurcation.