A delay differential equation model of a predator prey system with a transmissible disease in the prey population
The authors study the problem of a predator-prey system with a disease in the prey population (interpreted to be phytoplankton) out of which the infected cells neither reproduce nor recover. By using Lyapunov functional approach, the authors establish a persistence criterion for the three populations, namely, sound and infected prey, and predator. In the three-dimensional system of the integro-differential equations model, integral terms represent that the process of infection is not instantaneous but takes some time to form a new group of infected phytoplankton cells from susceptible phytoplankton cells.
scientific article; zbMATH DE number 1730609