Reaction-diffusion stochastic lattice model for a predator-prey system
نویسندگان
چکیده
منابع مشابه
Reaction-Diffusion Stochastic Lattice Model for a Predator-Prey System
We have the purpose of analyzing the effect of explicit diffusion processes in a predator-prey stochastic lattice model. More precisely we wish to investigate the possible effects due to diffusion upon the thresholds of coexistence of species, i. e., the possible changes in the transition between the active state and the absorbing state devoid of predators. To accomplish this task we have perfo...
متن کاملStochastic lattice gas model for a predator-prey system.
We propose a stochastic lattice gas model to describe the dynamics of two animal species population, one being a predator and the other a prey. This model comprehends the mechanisms of the Lotka-Volterra model. Our analysis was performed by using a dynamical mean-field approximation and computer simulations. Our results show that the system exhibits an oscillatory behavior of the population den...
متن کاملA Reaction-Diffusion System of a Predator-Prey-Mutualist Model
Mutualism is part of many significant processes in nature. Mutualistic benefits arising from modification of predator-prey interactions involve interactions of at least three species. In this paper we investigate the homogeneous Neumann problem and Dirichlet problem for a reaction-diffusion system of three species--a predator, a mutualist-prey, and a mutualist. The existence, uniqueness, and bo...
متن کاملDynamical Analysis of a Delayed Reaction-Diffusion Predator-Prey System
and Applied Analysis 3 see 1, 4–18 . In this paper, we mainly focus on the effects of both spatial diffusion and time delay factors on system 1.6 with Neumann boundary conditions as follows: ∂u ∂t u ( α − βu) − cuv mv 1 d1Δu, x ∈ Ω, t > 0, ∂v ∂t v ( −γ bu t − τ mv t − τ 1 ) d2Δv, x ∈ Ω, t > 0, ∂u ∂ν ∂v ∂ν 0, x ∈ ∂Ω, t > 0, u x, 0 u0 x ≥ 0, v x, 0 v0 x ≥ 0, x ∈ Ω, 1.7 where Ω is a bounded open d...
متن کاملA Stochastic Predator-Prey Model
A stochastic version of the classical predatorprey population model is considered through a simple birthdeath formulation. The expected value of the process is obtained and shown to correspond to the deterministic predatorprey population model.
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: Brazilian Journal of Physics
سال: 2008
ISSN: 0103-9733
DOI: 10.1590/s0103-97332008000100017