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- Title
A study of harvesting in a predator-prey model with disease in both populations.
- Authors
Das, Krishna pada
- Abstract
Disease control by managers is a crucial response to emerging epidemics, and in the context of global change, emerging risks associated with parasites, invasive species, and infectious diseases are an important issue especially for developing countries. Our objective is to provide a mathematical framework to study the response of a predator-prey model to a disease in both populations and harvesting of prey species. We have worked out the conditions for local stability of the equilibrium points as well as persistence of the system. We have derived the ecological and disease basic reproduction numbers. These enable us to determine the community structure of the system. Harvesting may play a crucial role in a host-parasite system, and reasonable harvesting can remove parasite burden from the host. Our numerical results reveal that the reasonable harvesting prevents the oscillations of the species. We conclude that harvesting can be an effective strategy for controlling the spread of disease. Copyright © 2016 John Wiley & Sons, Ltd.
- Subjects
DISEASE research; LIMIT cycles; REPRODUCTION; HARVESTING; EPIDEMIC research
- Publication
Mathematical Methods in the Applied Sciences, 2016, Vol 39, Issue 11, p2853
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.3735