带有交叉扩散项的捕食食饵模型的全局分歧.pdfVIP

Vol No JOU RNA L OF H EFEI U NIV ERSIT Y O F T EC HNOL OGY Feb doi issn j Dirichlet CrandallRabinow itz O A Global bifurcation in a predator rey model with cross diffusion p Z HA N G Xiaoing RONG Yuetang j School of Science Xi an Poly t echnic U niv er sity Xi an China Abstract T he ex istence of positive solutions f or a predator rey model w ith cro ssdiff usion under hom p ogeneous Dirichlet boundary conditions is studied Based on the CrandallRabinow itz bif urcation theo ry o sitive solutions emanating f rom the semi trivial solutions are derived Finally the local bif urca p tion solution is developed to the global one thus obtaining the sufficient conditions of po sitive solu tions It is show n that the predator and the prey can coex ist under certain conditions Key words redator rey model cro ssdiff usion lobal bif urcation p p g db m d k m g k g k g k bv ut u a u u x t mu kv du vt v c v v x t BD mu kv