<p>Agricultural intensification has led to a drastic simplification and homogenization of agriculture ecosystems, causing an increased reliance on chemical pesticides to control pests. However, these pesticides have major negative impacts on biodiversity, ecosystem services, and human health. Integrated pest management (IPM) technologies offer effective solutions to reduce the negative effects of pests while considering human and environmental health. Integrated pest management (IPM) provides a framework for the development and use of sustainable control strategies, which include the monitoring of the crop pest complex and the use of decision tools such as predictive models. In this work, we consider a pest-nature enemy model for integrated pest management with repeatedly releasing natural enemy and impulsively spraying pesticides. Employing mathematical methods, we obtain the globally asymptotically stable condition for pest-extinction boundary periodic solution of system (<InternalRef RefID="Equ3">2.1</InternalRef>). The permanent condition of system (<InternalRef RefID="Equ3">2.1</InternalRef>) is also obtained. The controlling threshold of pest extinction can be easily calculated under conditions <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13662_2025_3877_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <msub> <mi>H</mi> <mn>1</mn> </msub> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(H_{1})$</EquationSource> </InlineEquation> and <InlineEquation ID="IEq2"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13662_2025_3877_Article_IEq2.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="34" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mo stretchy="false">(</mo> <msub> <mi>H</mi> <mn>2</mn> </msub> <mo stretchy="false">)</mo> </math></EquationSource> <EquationSource Format="TEX">$(H_{2})$</EquationSource> </InlineEquation>. Furthermore, numerical methods are used to demonstrate the complex dynamic properties of system (<InternalRef RefID="Equ3">2.1</InternalRef>). Our results provide effective approaches for integrated pest management.</p>

Dynamics of a pest-nature enemy model for IPM with repeatedly releasing natural enemy and impulsively spraying pesticides

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2025年2月14日

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Jianjun Jiao,
Xiangjun Dai,
Qi Quan

摘要

Agricultural intensification has led to a drastic simplification and homogenization of agriculture ecosystems, causing an increased reliance on chemical pesticides to control pests. However, these pesticides have major negative impacts on biodiversity, ecosystem services, and human health. Integrated pest management (IPM) technologies offer effective solutions to reduce the negative effects of pests while considering human and environmental health. Integrated pest management (IPM) provides a framework for the development and use of sustainable control strategies, which include the monitoring of the crop pest complex and the use of decision tools such as predictive models. In this work, we consider a pest-nature enemy model for integrated pest management with repeatedly releasing natural enemy and impulsively spraying pesticides. Employing mathematical methods, we obtain the globally asymptotically stable condition for pest-extinction boundary periodic solution of system (2.1). The permanent condition of system (2.1) is also obtained. The controlling threshold of pest extinction can be easily calculated under conditions $(H_{1})$ $(H_{1})$ and $(H_{2})$ $(H_{2})$ . Furthermore, numerical methods are used to demonstrate the complex dynamic properties of system (2.1). Our results provide effective approaches for integrated pest management.