Dynamic Analysis Of Anaplasmosis Models

In this paper, the pathogen of anaplasmosis is studied in mathematicas, and build corresponding mathematical models. We respectively consider the three population anaplasmosis modes with Holling-II functional response and the two population anaplas-mosis modes with Holling-II functional response, and analyze the equilibriums of these mathematical models. This paper is divided into four chapters.In the first chapter, we briefly introduce the pathogen of anaplasmosis.In the second chapter, we establish and analyze the three population anaplasmosis modes with Holling-II functional response. For the natural reservoirs, ticks are the ve-hicle, people are infected. And analyzes the model, the sufficient condition is obtained for the local stability of the disease-free equilibrium. And Sufficient conditions are ob-tained for the local and global stability of the unique positive equilibrium by applying a geometric method.In the third chapter, we establish and analyze the two population anaplasmosis modes with Holling-II functional response. For the main woke is about people, we pay attention to human granulocytic anaplasmosis (HGA), a model which the center of people is established. And analyze the anaplasmosis mathematical model of two population. Sufficient conditions are obtained for the local stability of the border equilibriums, and sufficient conditions are obtained for the local and global stability of the unique positive equilibrium by applying a geometric method.In the fourth chapter, we summarizes the main conclusions of the paper, and simply present the biological explanation of models. Finally, we point out the questions and work we should do in the further research.