Metaecoepidemic models: infected and migrating predators

Abstract

In this contribution, we outline the basic ideas behind metaecoepidemics. We consider a simple predator–prey system with two possible habitats and where an epidemic spreads by contact among the predators, in the patch in which prey are absent. Only the sound predators can freely move from one environment to another. The equilibria of the system are analysed for stability. Theoretical and simulation results show that modifying the environment in which interacting populations live may entail unforeseen consequences. In particular circumstances, however, it could constitute also a possible way of eradicating pests.

Keywords:

• ecoepidemiology
• local stability
• metapopulations
• habitat

2010 AMS Subject Classifications::

• 92D25
• 92D30

Acknowledgements

The last author is indebted to his biology colleagues Professor Guido Badino, Dr Francesca Bona, Dr Simona Bonelli and Dr Luca Casacci for very useful interactions and for providing the biological framework of the paper. The authors also thank the referees for their useful remarks.