An eco-epidemiological model with general functional response of
predator to prey
- Lopo de Jesus,
- César Silva,
- Helder Vilarinho
Abstract
We consider a nonautonomous eco-epidemiological model with general
functions for predation on infected and uninfected preys as well as
general functions associated to the vital dynamics of the susceptible
prey and predator populations. We obtain persistence and extinction
results for the infected prey based on assumptions on auxiliary systems
constructed from the disease-free system. We moreover consider an
iterative process that can improve the extinction results. We apply our
results to general eco-epidemiological models that include several
examples existent in the literature.15 Nov 2021Submitted to Mathematical Methods in the Applied Sciences 16 Nov 2021Submission Checks Completed
16 Nov 2021Assigned to Editor
23 Nov 2021Reviewer(s) Assigned
27 Apr 2022Review(s) Completed, Editorial Evaluation Pending
23 May 2022Editorial Decision: Revise Minor
28 Jun 20221st Revision Received
29 Jun 2022Submission Checks Completed
29 Jun 2022Assigned to Editor
30 Jun 2022Reviewer(s) Assigned
03 Jul 2022Review(s) Completed, Editorial Evaluation Pending
05 Sep 2022Editorial Decision: Accept
21 Sep 2022Published in Mathematical Methods in the Applied Sciences. 10.1002/mma.8743 
