title: A discrete model of avian influenza with seasonal reproduction and transmission.
abstract: In this paper, we formulate a discrete-time model with the reproductive and overwintering periods to assess the impact of avian influenza transmission in poultry. It is shown that the disease is extinct if the basic reproduction number is less than one and is persistent if the basic reproductive number is greater than one. Furthermore, the model admits a closed invariant cycle, which means that avian influenza fluctuates in poultry.
authors.affiliation: Key Laboratory of Eco-environments in Three Gorges Reservoir Region, School of Mathematics and Statistics, Southwest University, Chongqing, 400715, People's Republic of China. lionmaxlinling@163.com
authors.forename: Xinling
authors.initials: X
authors.lastname: Ma
authors.forename: Wendi
authors.initials: W
authors.lastname: Wang
mesh_terms: D000818:Animals; D003198:Computer Simulation; D005585:Influenza in Birds / Q000453:epidemiology* / Q000635:transmission* / Q000821:virology; D008954:Models, Biological; D011156:Population Density; D011200:Poultry / Q000821:virology; D012098:Reproduction / Q000502:physiology; D012621:Seasons