Non-local reaction-diffusion equations modelling predator-prey coevolution
نویسندگان
چکیده
منابع مشابه
The Lotka-Volterra Predator-Prey Equations
One may find out the application of mathematics in the areas of ecology, biology, environmental sciences etc. Mathematics is particulary used in the problem of predator-prey known as lotka-Volterra predator-prey equations. Indeed, differential equations is employed very much in many areas of other sciences. However, most of natural problems involve some unknown functions...
متن کاملCoevolution can reverse predator-prey cycles.
A hallmark of Lotka-Volterra models, and other ecological models of predator-prey interactions, is that in predator-prey cycles, peaks in prey abundance precede peaks in predator abundance. Such models typically assume that species life history traits are fixed over ecologically relevant time scales. However, the coevolution of predator and prey traits has been shown to alter the community dyna...
متن کاملWarning signals and predator-prey coevolution.
Theories of the evolution of warning signals are typically expressed using analytic and computational models, most of which attribute aspects of predator psychology as the key factors facilitating the evolution of warning signals. Sherratt provides a novel and promising perspective with a model that considers the coevolution of predator and prey populations, showing how predators may develop a ...
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 کاملReaction-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...
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ژورنال
عنوان ژورنال: Publicacions Matemàtiques
سال: 1994
ISSN: 0214-1493
DOI: 10.5565/publmat_38294_04