| A mathematics model is established to describe the characteristics of the bio-logical system,which is an important part of the field of mathmatics application.Lotka-Volterra model is a very important mathematical models in the field of e-cology,which has been received attention extensively by many scholars and gained many valuable results.Based on the current researches of the above models,by mainly using the theories of the elliptic equations,compaision principle,super-sub solutions method,bifurcation theory,stability theory,fixed-point theory of topology and numerical simulation,the following predator-prey model is disscussedThe main structure are arranged as follows:In chapter 1,mainly introduce the background and research situation of predator-prey model,and show the main results of this paper.In chapter 2,the dynamic behavior of a kind of predator-prey model is stud-ied.Research contents include existence,non-existence,uniqueness,multiplicity and stablity of positive steady-state solution.Finally,some numerical simulations are showen to support the analytical results. |
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