Abstract
A non-constant eco-epidemiological model with SIS-type infectious disease in prey is formulated and investigated, it is assumed that the disease is endemic in prey before the invasion of predator and that predation is more likely on infected prey than on the uninfected. Sufficient conditions for both permanence and extinction of the infected prey, and the necessary conditions for the permanence of the infected prey are established. It is shown that the predation preference to infected prey may even increase the possibility of disease endemic, and that the introduction of new resource for predator could be helpful for it to eradicate the infected prey. Numerical simulations have been performed to verify/extend our analytical results.
Highlights
Infectious diseases among predators or preys have potential impacts on the population sizes of interacting predator-prey community
For predator-prey relationships, it was found that predator removal decreased the prey population in 54 of the 135 systems examined [26]; in [23], it was suggested that predator removal can lead to a decreased prey population size for a predator-prey system with infected prey
We have formulated a non-autonomous eco-epidemic model with infected prey, with the assumptions that the disease is endemic in prey without the invasion of predator and that predation is more likely on infected prey than on the uninfected
Summary
College of Mathematics and Statistics, Northeast Petroleum University Daqing, 163318, China.
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