| Infectious disease model of ecological interaction is a disease in the spread among thepopulation, which is a combination between infectious disease dynamics and populationecology. It plays an very important role to how to efectively control the disease inpopulation.At present, most of the epidemic dynamics model of single only involved populationand epidemic diseases. But in the real world it is not so. Population would competeeach other or preyed by other species because of food, space, resources,etc. Therefore,the study of the disease transmission in a population is very necessary. Now there aremany scholars in this field have done a lot of research, and have achieved good results.For example, the mole about disease in predators spread only, the mole about disease inpositive spread only, the mole about disease in two competition propagation spread, themole about disease in a population spread across.The main contents in this paper can be summarized as follows:1. Firstly, in the first section, we introduce the background developmental processand significance of eco-epidemiology and the systems of population dynamic with pulse.Then we introduce the research results of this fields. Finally, the organization of the paperis given.2. In the second section, we study a class of nonautonomous infectious disease modelwith the predator diseases. A method we used to obtain the sufcient and necessaryconditions on the permanence and extinction of the predator and the global attractivityof the system are obtained by constructing a Lyapunov function.3. In the third section, we study a class of ecological infectious disease model withpulse with the predator diseases. A method we used to obtain the sufcient and necessaryconditions on the permanence and extinction of the predator and the global attractivityof disease-free periodic solution and the global attractivity of the system are obtained byconstructing a Lyapunov function.4. In the forth section, we have a summary. |
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