%0 Journal Article
%T Steady state bifurcation in a cross diffusion prey-predator model
%J Computational Methods for Differential Equations
%I University of Tabriz
%Z 2345-3982
%A Farshid, Marzieh
%A Jalilian, Yaghoub
%D 2023
%\ 04/01/2023
%V 11
%N 2
%P 254-262
%! Steady state bifurcation in a cross diffusion prey-predator model
%K Steady state bifurcation
%K Cross diffusion
%K Prey-predator model
%R 10.22034/cmde.2022.52663.2213
%X In this paper, we study the bifurcation of nontrivial steady state solutions for a cross-diffusion prey-predator model with homogeneous Neumann boundary conditions. The existence of positive steady state solutions near a bifurcation point is proved using a crossing curve bifurcation theorem. We consider a situation where the transversality condition is not satisfied. Unlike the case in saddle-node bifurcation, the solution set is a pair of transversally intersecting curves.
%U https://cmde.tabrizu.ac.ir/article_15401_d44135fc019221cc89f6b4855a63ba3d.pdf