Analysis of a HPV and Chlamydia Trachomatis Coinfection SEIRS Model with Incubation Period
In this paper,we analyze the transmission dynamics of a HPV-Chlamydia trachomatis mixed infection model,which includes the incubation periods of two pathogens,and the non-permanent immunities.We first prove the non-negativity and boundedness of the solution.Then,the basic repro-duction numbers are obtained by using the next generation matrix.When the basic reproduction number RHP＜1 of HPV infection sub-model,the disease-free equilibrium is locally and globally asymptotically stable.When the RHP＞1,the system has a unique endemic equilibrium which is locally and globally asymptotically stable.When the basic reproduction number RHL＜1 of coinfection model,the disease-free equilibrium is globally asymptotically stable,while RHL＞1 and the invasion reproduction numbers R1HP＞1,R1CL＞1,the system is uniformly persistent and there is at least one endemic equilibrium.Finally,the theoretical results are illustrated by numerical simulation.
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