Several Solutions Of Competitive Models With Diffusion Or Staggered Diffusion

Models used in many research fields can be described by partial di?erential equations.In physics, mechanics, ecology and other subjects, the basic equations are partial di?erential equations?The biological models have received intensive study, and it has been an important aspect in the field of partial di?erential equations. We use partial di?erential equations to represent biological phenomenon.Through the study of partial di?erential equations, to predict and explain some biological phenomenon.This article focuses on a few competition models with di?usion or cross-di?usion.Research the existence of its solution.In Chapter 1, the biological background and history about the related work are introduced.In Chapter 2, a three-species competition model with di?usion is studied by the upperlower solution method.And prove the existence of its solution.In Chapter 3, a three-species competition model with di?usion and cross-di?usion is studied. Research the existence of its positive steady states.