具有扩散项SIRS模型常数平衡解的全局稳定性

Global Stability on Constant Equilibria of A SIRS Model with Diffusion Terms

考虑人口的出生和自然死亡等因素,但总人口是常数的SIRS模型,并添加对空间的扩散项,通过构造Liapunov泛函,得到其非负常数平衡解的全局渐近稳定性.

In this paper, we study a SIRS model, considering the birth and natural death of the population, with diffusion terms when the total population is taken to be constant. By constructing Liapunov functional we study the globally asymptotically stability of the nonnegative constant equilibria.