<p>In this study, we investigated the effect of ecological flower planting measures on the control of insects in plants using two-time scales. Because of the different characteristics of each stage of the insect species, we employed a model with a population structure consisting of two stages: eggs and adults. We assumed the model was built in a heterogeneous environment, specifically on two adjoining fields. To reduce the dimension of the model, we utilized the aggregation of variables method and obtained an aggregated model with fewer dimensions. The interaction between species has been carefully analyzed. Outstanding in our results are the local stability analysis of equilibrium points and the global stability of the ideal equilibrium point. From a biological viewpoint, we provide helpful insights for pest control and crop yield enhancement as follows: two best-case scenarios can occur to achieve optimal crop yield. Firstly, we can divide the land into smaller fields to obtain maximum yield in both fields and eliminate the insects. Secondly, growing crops over a larger land area and rationally planting flowers like increasing the number of flowers and situating them near the crops, will create conditions for natural enemies to move around and support crop pollination. This, in turn, will boost crop production and restrict the growth of harmful insects.</p>

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Modelling and Dynamical Analysis of a Stage-Structured Plant-Insect System under the Effect of Ecological Flower Planting Measure Using Two-Times Scale

  • Huyen Thi-Thu Nguyen,
  • Thuy Phuong Nguyen

摘要

In this study, we investigated the effect of ecological flower planting measures on the control of insects in plants using two-time scales. Because of the different characteristics of each stage of the insect species, we employed a model with a population structure consisting of two stages: eggs and adults. We assumed the model was built in a heterogeneous environment, specifically on two adjoining fields. To reduce the dimension of the model, we utilized the aggregation of variables method and obtained an aggregated model with fewer dimensions. The interaction between species has been carefully analyzed. Outstanding in our results are the local stability analysis of equilibrium points and the global stability of the ideal equilibrium point. From a biological viewpoint, we provide helpful insights for pest control and crop yield enhancement as follows: two best-case scenarios can occur to achieve optimal crop yield. Firstly, we can divide the land into smaller fields to obtain maximum yield in both fields and eliminate the insects. Secondly, growing crops over a larger land area and rationally planting flowers like increasing the number of flowers and situating them near the crops, will create conditions for natural enemies to move around and support crop pollination. This, in turn, will boost crop production and restrict the growth of harmful insects.