### Transcritical bifurcation for a pest management model with impulse and virus infection

WANG Ai-li

1. School of Mathematics and Information Science, Baoji University of Arts and Sciences, Baoji 721013, Shaanxi, China
• Published:2020-07-08

Abstract: The existence of a boundary periodic solution is investigated for a pest management model with state-dependent feedback control and virus infection. The condition is derived for the global stability of the boundary periodic solution. It is examined how the transcritical bifurcation occurs for this model. It is addressed the impact of the control intensity, including the pesticide function and the releasing ratio of infected pests, on the frequency implementing the control measures. The main results obtained in this paper show that the state-dependent control policy can be converted into a periodic impulsive one. The frequency implementing control measures diminishes as the releasing ratio of infected pests increases; while it may decrease or increase as the pesticide function increases.

CLC Number:

• O175.7
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