A Predator-Prey Model with Functional Response and Stage Structure for Prey
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 کاملOn a Periodic Predator-Prey System with Holling III Functional Response and Stage Structure for Prey
and Applied Analysis 3 To the best of the authors’ knowledge, for the nonautonomous case of predatorprey systems with two predators which consume immature prey and stage structure for prey, whether one could obtain the sufficient and necessary conditions which insure the permanence of the system or not is still an open problem. The aim of this paper is, by further developing the analysis techni...
متن کاملDynamical behavior of a stage structured prey-predator model
In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to ob...
متن کاملDiscretization of a fractional order ratio-dependent functional response predator-prey model, bifurcation and chaos
This paper deals with a ratio-dependent functional response predator-prey model with a fractional order derivative. The ratio-dependent models are very interesting, since they expose neither the paradox of enrichment nor the biological control paradox. We study the local stability of equilibria of the original system and its discretized counterpart. We show that the discretized system, which is...
متن کاملPermanence of Periodic Predator-Prey System with General Nonlinear Functional Response and Stage Structure for Both Predator and Prey
and Applied Analysis 3 Motivated by the above question, we consider the following periodic predator-prey system with general nonlinear functional responses and stage structure for both predator and prey: ẋ1 t a1 t x2 t − b1 t x1 t − d1 t x2 1 t − g x1 t y2 t , ẋ2 t c1 t x1 t − f1 t x2 2 t , ẏ1 t a2 t y2 t − b2 t y1 t − d2 t y2 1 t k t g x1 t y1 t , ẏ2 t c2 t y1 t − f2 t y2 2 t , 1.5 where ai t ...
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: Abstract and Applied Analysis
سال: 2012
ISSN: 1085-3375,1687-0409
DOI: 10.1155/2012/628103