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**Harvesting as a disease control measure in an eco-epidemiological system – a theoretical study.**
*(English)*
Zbl 1157.92030

Summary: Epidemiology and ecology are traditionally treated as independent research areas, but there are many commonalities between these two fields. It is frequently observed in nature that the former has an encroachment into the later and changes the system dynamics significantly. In population ecology, in particular, the predator-prey interaction in presence of parasites can produce more complex dynamics including switching of stability, extinction and oscillations. On the other hand, harvesting practices may play a crucial role in a host-parasite system. Reasonable harvesting can remove a parasite, in principle, from their host. We study theoretically the role of harvesting in a predator-prey-parasite system. Our study shows that, using impulsive harvesting effort as control parameter, it is not only possible to control the cyclic behavior of the system populations leading to the persistence of all species, but other desired stable equilibrium including disease-free can also be obtained.

### MSC:

92D40 | Ecology |

92D30 | Epidemiology |

93C95 | Application models in control theory |

93C15 | Control/observation systems governed by ordinary differential equations |

### Keywords:

susceptible prey; infected prey; predator; local stability; harvesting; maximum sustainable yield
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\textit{N. Bairagi} et al., Math. Biosci. 217, No. 2, 134--144 (2009; Zbl 1157.92030)

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### References:

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