Qualitative Analysis Of A Diffusive Predator-prey Model With Disease And Hollingâ…¢ Functional Response

This paper a diffusive predator-prey system with disease and Hollingâ…¢functionalresponse is investigated. At first, we introduced the background of this paper the preface.The first chapter we obtain local stability of the unique positive constant Reaction diffu-sion equations . The second chapter we introduce a priori upper and lower bounds forthe positive solution of reaction diffusion equations. Chapterâ…¢, we can obtain the globalstability of equilibrium point by constructing V function. Chapter IV, the non-existenceresults of non-trivial solution are derived. Chapter V, the existence results of positivesolution are derived.ChapterVI,conclusion.