Controlling infection in predator-prey systems with transmission dynamics

摘要: We propose in this paper a prophylactic treatment strategy for predator-prey system. The objective is to fight against the propagation of an infectious disease within two populations, one which preys on other. This modeled by means SIS (susceptible-infectious-susceptible) epidemic model with vital dynamics and infection both species through contact predation, including mortality rates populations due directly disease. Treatment strategies are represented new parameters modeling uptake populations. analyze effect various scenarios (prey only, predator or both) via their possible cost structures, size infected illustrate if when applying such preventive treatments lead prevalence drop conduct our study using optimal control seeking minimize cost(s), subject transmission dynamics.