Stability analysis of discrete-time multi-patch Beddington–DeAngelis type predator-prey model with time-varying delay
نویسندگان
چکیده
منابع مشابه
Global stability of a Lotka-Volterra type predator-prey model with stage structure and time delay
A delayed Lotka–Volterra type predator–prey model with stage structure for predator is investigated. It is assumed in the model that the individuals in the predator population may belong to one of two classes: the immatures and the matures, the age to maturity is presented by a time delay, and that the immature predators do not have the ability to prey. By analyzing characteristic equations and...
متن کاملStability Analysis and Bifurcation of a Predator-prey Model with Time Delay in Prey and Diseases in Predator
Abstract. In this paper, we present a predator-prey model with time delay, in which predator can be infected. The epidemics cannot be transmitted between prey and predator by predation. The predation ability of susceptible predators is stronger than infected ones. Based on the assumptions above, we study the stability and bifurcation of some equilibrium points, where the time delay is regarded ...
متن کاملBifurcation Analysis in a Predator-prey Model with Discrete and Distributed Time Delay
In this paper, a class of predator-prey model with discrete and distributed time delay is considered, where the time delay is regarded as a parameter. It is shown that Hopf bifurcation occurs when this delay passes through a sequence of critical value. By using the normal form theory and center manifold theory, we derive some explicit formulae for determining the stability and the direction of ...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملA Predator-Prey Model in the Chemostat with Time Delay
The aim of this paper is to study the dynamics of predator-prey interaction in a chemostat to determine whether including a discrete delay to model the time between the capture of the prey and its conversion to viable biomass can introduce oscillatory dynamics even though there is a globally asymptotically stable equilibrium when the delay is ignored. Hence, Holling type I response functions ar...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2019
ISSN: 1687-1847
DOI: 10.1186/s13662-019-2371-2