Dynamics of a delayed predator–prey model with predator migration
نویسندگان
چکیده
منابع مشابه
The Dynamical Analysis of a Delayed Prey-Predator Model with a Refuge-Stage Structure Prey Population
A mathematical model describing the dynamics of a delayed stage structure prey - predator system with prey refuge is considered. The existence, uniqueness and bounded- ness of the solution are discussed. All the feasibl e equilibrium points are determined. The stability analysis of them are investigated. By employ ing the time delay as the bifurcation parame...
متن کاملVariation in predator foraging behaviour changes predatorprey spatiotemporal dynamics
1. Foraging underlies the ability of all animals to acquire essential resources and thus provides a critical link to understand population dynamics. A key issue is how variation in foraging behaviour affects foraging efficiency and predator–prey interactions in spatially heterogeneous environments. However, there is very little quantitative information available on this topic. 2. We evaluated t...
متن کاملDynamics of a Delayed Epidemic Model with Beddington-DeAngelis Incidence Rate and a Constant Infectious Period
In this paper, an SIR epidemic model with an infectious period and a non-linear Beddington-DeAngelis type incidence rate function is considered. The dynamics of this model depend on the reproduction number R0. Accurately, if R0 < 1, we show the global asymptotic stability of the disease-free equilibrium by analyzing the corresponding characteristic equation and using compa...
متن کاملRich dynamics in a delayed Gause-type predator-prey model
where x(t) denotes the density of the prey population and y(t) the density of predators. Parameters r, K, s, Y , and m are positive constants denoting the intrinsic growth rate and the carrying capacity of the prey, the death rate of the predator in the absence of prey, the yield constant, and the maximal growth rate of the predator, respectively. The function f(x) denotes the response function...
متن کاملPermanence and global asymptotic stability of a delayed predator-prey model with Hassell-Varley type functional response
Here, a predator-prey model with Hassell-Varley type functional responses is studied. Some sufficient conditions are obtained for the permanence and global asymptotic stability of the system by using comparison theorem and constructing a suitable Lyapunov functional. Moreover, an example is illustrated to verify the results by simulation.
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: Applied Mathematical Modelling
سال: 2013
ISSN: 0307-904X
DOI: 10.1016/j.apm.2012.04.012