An eco-epidemiological delay model for viral infection in phytoplankton zooplankton system

摘要：

In this paper, a delayed model for viral infection in toxin producing phytoplankton (TPP) and zooplankton system is proposed and analyzed. It is assumed that the viral disease is spreading only among the prey species and the predator can feed both (susceptible and infected) prey. The discrete time delay due to gestation of zooplankton is considered. By analyzing the corresponding characteristic equations, the local stability of the equilibria is investigated. Furthermore, Hopf bifurcations occurring at the positive equilibrium under some conditions are obtained. Numerical simulations are used to show the complexity in the system.

关键词： Toxin producing plankton(TPP) zooplankton eco-epidemiology Hopf bifurcation

作者: Zhichao Zhang Yanfei Dai Shujing Gao

作者单位: College of Mathematic and Computer Science,Gannan Normal University,Ganzhou, 341000, China

会议类型: 国际会议

会议名称: The 5th International Congress on Mathematical Biology(第五届国际生物数学大会 ICMB 2011)

会议地点: 南京

会议语种:英文

页码: 1234-1240

在线出版日期: 2011-06-01（万方平台首次上网日期，不代表论文的发表时间）