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    2017 5th ITCDM

    2017/07/18~2017/07/21 5th ITCDM

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主 講 人: Prof. Bapan Ghosh, Department of Mathematics
(National Institute of Technology Meghalaya, India.)

講 題:Introduction strategy of biocontrol agents in spatially structured populations.

日 期:105年6月28日(週二)

時 間:14:00開始

地 點:S433室

摘要Abstract
Biological control is an important tool for ecologically friendly crop protection against pests, that consists in using a biological organism (predator, parasitoid, pathogen) to reduce the population density of the targeted pest. We examine the effectiveness of periodic impulsive releases of biocontrol agents (beneficial species) into a two-patch environment through mathematical modeling. In this paper, we consider a spatio-temporal Lotka-Volterra pest- predator system defined over two patches. We show that the threshold predator release rate guaranteeing the stability of the pest-free solution is actually independent of the release period when predators in both patches follow balanced dynamics or pests do not disperse. Otherwise, the stability threshold becomes period-dependent and more specifically it is an increasing function of the release period. This implies that the deployment of biological con- trol agents at a given release rate can possibly succeed if releases are frequent and small and fail otherwise. In the various cases we also show what the optimal strategy is that minimizes the total release rate or how to spread a given release rate between the two patches.

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新的數學方法和概念,常常比解決數學問題本身更重要。—— 華羅庚