摘要:In this paper, we study the qualitative behavior of a Nicholson-Bailey host-parasitoid model given by x n + 1 = R x n e − a y n , y n + 1 = x n ( 1 − e − a y n ) , where R, a and initial conditions x 0 , y 0 are positive real numbers. More precisely, we investigate the local asymptotic stability of the unique positive equilibrium point of this system. Some numerical examples are given to verify our theoretical results. MSC:39A10, 40A05.
关键词:Nicholson-Bailey model ; steady-states ; local stability