Global bifurcation in a toxin producing phytoplankton-zooplankton system with prey-taxis
In this paper, authors first study the stability of the positive constant equilibrium and Turing instability induced by prey-taxis for phytoplankton-zooplankton system with prey-taxis. Then by applying Crandall-Rabinowitz bifurcation theory, the local existence of the nonconstant positive steady state bifurcating from the positive constant equilibrium \(E^*\) is proven. In one dimension case, when \(\phi (Z)=Z\), authors show that the local solution of the bifurcating branches can be extended to a global one.
scientific article; zbMATH DE number 7457480
scientific article