A model of two co-affected species with diffusion system in the population dynamics was discussed, where the birth functions had the characteristic index decline. Then, two kinds of parameters were introduced. One was...A model of two co-affected species with diffusion system in the population dynamics was discussed, where the birth functions had the characteristic index decline. Then, two kinds of parameters were introduced. One was circumstance factors αi which were connected with natural resources and the other was birth parameters βi which could be controlled. By constructing the upper-lower solutions, the existence, uniqueness and the local stability of equilibrium solution of the model were proved. It is shown that the birth parameter βi determine the developing tendency when other parameters are comparatively stable.展开更多
文摘A model of two co-affected species with diffusion system in the population dynamics was discussed, where the birth functions had the characteristic index decline. Then, two kinds of parameters were introduced. One was circumstance factors αi which were connected with natural resources and the other was birth parameters βi which could be controlled. By constructing the upper-lower solutions, the existence, uniqueness and the local stability of equilibrium solution of the model were proved. It is shown that the birth parameter βi determine the developing tendency when other parameters are comparatively stable.
