Modelling the Effects of Pest Control with Development of Pesticide Resistance

Liu, Bing; Kang, Baolin; Tao, Fengmei; Hu, Gang

doi:10.1007/s10255-021-0988-x

Cited by 5 publications

(4 citation statements)

References 33 publications

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“…then the pest eradication boundary periodic solution (0, y 1 (t), 0, y 2 (t)) of ( 1) has global asymptotic stability, where y * i (i = 1, 2), y * * i (i = 1, 2) and y * * * i (i = 1, 2) are determined by ( 8), (13), and ( 14), respectively. Proof.…”

Section: The Dynamicsmentioning

confidence: 99%

“…we define y * i (i = 1, 2), y * * i (i = 1, 2), and y * * * i (i = 1, 2) according to Equations ( 8), (13), and ( 14), respectively, then the system (1) can be considered permanent.…”

Section: Definitionmentioning

confidence: 99%

“…The measures taken by integrated pest management mainly include tools of chemical control, biological control, cultural control, mechanical or physical control, genetic control, etc. In recent years, the models of integrated pest management have been extensively and deeply studied by many scholars [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18].…”

Section: Introductionmentioning

confidence: 99%

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Analysis of an Integrated Pest Management Model with Impulsive Diffusion between Two Regions

Zhou

2023

Mathematics

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This paper investigates an integrated pest management model with pulsed diffusion. As we all know, humans have been fighting against pests since they entered the age of farming. When pests are controlled, humans can achieve better harvests. We use the stroboscopic mapping of discrete dynamic system to obtain some important lemmas. Based on the lemmas, firstly, we give the conditions for the global asymptotic stability of the periodic solution of the pest eradication boundary; secondly, the conditions for the permanence of the investigated system are derived; thirdly, numerical simulations are used to verify our obtained theoretical results; finally, increased dispersal was found to have the opposite effect on integrated pest management. We conclude that a combination of impulsive diffusion, spraying pesticides, and releasing natural enemies can play a crucial role in integrated pest management.

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Section: The Dynamicsmentioning

confidence: 99%

“…we define y * i (i = 1, 2), y * * i (i = 1, 2), and y * * * i (i = 1, 2) according to Equations ( 8), (13), and ( 14), respectively, then the system (1) can be considered permanent.…”

Section: Definitionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Analysis of an Integrated Pest Management Model with Impulsive Diffusion between Two Regions

Zhou

2023

Mathematics

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“…Recently, Li, Huang, and Liu proposed a pest management model to simulate the application of pesticides and build a pesticide function with residual and delayed effects of pesticides, proposing pest management with pollutant emission [27]. Liu et al constructed a mathematical model for pest control in which susceptible and infected pests are separated from the pest population and only susceptible pests are harmful to crops [28]. They weighed the two approaches of spraying pesticides and releasing diseased pests and natural enemies to control vulnerable pests when completing their task.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of a Double-Impulsive Control Model of Integrated Pest Management Using Perturbation Methods and Floquet Theory

Basir

Chowdhury²,

Torres

2023

Axioms

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We formulate an integrated pest management model to control natural pests of the crop through the periodic application of biopesticide and chemical pesticides. In a theoretical analysis of the system pest eradication, a periodic solution is found and established. All the system variables are proved to be bounded. Our main goal is then to ensure that pesticides are optimized, in terms of pesticide concentration and pesticide application frequency, and that the optimum combination of pesticides is found to provide the most benefit to the crop. By using Floquet theory and the small amplitude perturbation method, we prove that the pest eradication periodic solution is locally and globally stable. The acquired results establish a threshold time limit for the impulsive release of various controls as well as some valid theoretical conclusions for effective pest management. Furthermore, after a numerical comparison, we conclude that integrated pest management is more effective than single biological or chemical controls. Finally, we illustrate the analytical results through numerical simulations.

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Parameter estimation and global sensitivity analysis of a bacterial-plasmid model with impulsive drug treatment

Jia,

Zhao,

Yang

et al. 2024

Chaos, Solitons & Fractals

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Modelling the Effects of Pest Control with Development of Pesticide Resistance

Cited by 5 publications

References 33 publications

Analysis of an Integrated Pest Management Model with Impulsive Diffusion between Two Regions

Analysis of an Integrated Pest Management Model with Impulsive Diffusion between Two Regions

Dynamics of a Double-Impulsive Control Model of Integrated Pest Management Using Perturbation Methods and Floquet Theory

Parameter estimation and global sensitivity analysis of a bacterial-plasmid model with impulsive drug treatment

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