3 papers
math.DS2020
Dynamics of a discrete eco-epidemiological model with disease in the prey
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
Using Mickens nonstandard method, we obtain a discrete family of nonautonomous eco-epidemiological models that include general functions corresponding to the predation of the infec…
math.DS2020
Random perturbations of an eco-epidemiological model
Lopo F. de Jesus, César M. Silva, Helder Vilarinho
We consider random perturbations of a general eco-epidemiological model. We prove the existence of a global random attractor, the persistence of susceptibles preys and provide cond…
math.DS2020
Periodic orbits for periodic eco-epidemiological systems with infected prey
L. de Jesus, C. M. Silva, H. Vilarinho
We address the existence of periodic orbits for periodic eco-epidemiological system with disease in the prey. To do it, we consider three main steps. Firstly we study a one paramet…