Stationary patterns created by cross-diffusion for the competitor–competitor–mutualist model
نویسندگان
چکیده
منابع مشابه
Stationary patterns of the stage-structured predator-prey model with diffusion and cross-diffusion
Keywords: Predator–prey model Stage-structure Stability Cross-diffusion Non-constant positive steady states a b s t r a c t This paper is concerned with the reaction diffusion version with homogeneous Neumann boundary conditions of a stage-structured predator–prey model. We first show that the nonnegative constant steady states are globally stable, which implies that corresponding elliptic syst...
متن کاملCross-diffusion induced stationary patterns in a prey-predator system with parental care for predators
A stage structure is incorporated into a prey-predator model in which predators are split into immature predators and mature predators. It is assumed that immature predators are raised by their parents in the sense that they cannot catch the prey and their foods are provided by parents. Further, it is assumed that the maturation rate of immature predators is a function of the food availability ...
متن کاملthe use of appropriate madm model for ranking the vendors of mci equipments using fuzzy approach
abstract nowadays, the science of decision making has been paid to more attention due to the complexity of the problems of suppliers selection. as known, one of the efficient tools in economic and human resources development is the extension of communication networks in developing countries. so, the proper selection of suppliers of tc equipments is of concern very much. in this study, a ...
15 صفحه اولSpatial patterns of a predator-prey model with cross diffusion
In this paper, spatial patterns of a Holling– Tanner predator-prey model subject to cross diffusion, which means the prey species exercise a self-defense mechanism to protect themselves from the attack of the predator are investigated. By using the bifurcation theory, the conditions of Hopf and Turing bifurcation critical line in a spatial domain are obtained. A series of numerical simulations ...
متن کاملOn the Number of Stationary Patterns in Reaction-diffusion Systems
We study systems of two nonlinear reaction-diffusion partial differential equations undergoing diffusion driven instability. Such systems may have spatially inhomogeneous stationary solutions called Turing patterns. These solutions are typically non-unique and it is not clear how many of them exists. Since there are no analytical results available, we look for the number of distinct stationary ...
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: Journal of Mathematical Analysis and Applications
سال: 2004
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2003.11.015