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Infection in prey population may act as a biological control in ratio-dependent predator-prey models. (English) Zbl 1062.34050

This is a well-written paper. A ratio-dependent predator-prey model with infection in prey population is proposed and analyzed. The behavior of the system near the biological feasible equilibria is studied. Conditions which no trajectory can reach the origin. The authors establish criteria persistence. It can be seen that the introduction of an infected population in the classical ratio-dependent predator-prey model may act as a biological control to save the population from extinction.

MSC:

34D05 Asymptotic properties of solutions to ordinary differential equations
92D25 Population dynamics (general)
34C60 Qualitative investigation and simulation of ordinary differential equation models
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