| Abstract: |
| To control or eradicate pest, providing their predators with additional food is known as a biological control method using the scenario of apparent competition; additional food increasing predators and also their effect on target prey (i.e., pest), thereby helping to decrease the abundance of the pest. In the context, this talk presents some predator-prey differential equations constructed by taking into account constant additional food on a general Holling-typed predation to discuss limit cycles and the global asymptotic stability of a positive equilibrium. These results suggest that the scenario of apparent competition mentioned above does not always hold, where increasing additional food may cause their large fluctuations, depending on the choice of additional food. |
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