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Visualizing Efficacy of Pesticides Against Disease Vector Mosquitoes in the Field

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Study on a delayed pest management model with pulse chemical control.

Yize Chen¹, Juhua Liang¹

¹School of Mathematics and Statistics, Shaanxi Normal University, Xi'an, People's Republic of China.

Journal of Biological Dynamics

|September 18, 2025

Summary

This study models delayed pesticide responses using novel mathematical equations to improve pest control strategies. Findings identify key parameters and thresholds for effective pest eradication, optimizing chemical control methods.

Keywords:

34A37 34A38 34D20 Pest control delayed response exponential stability pest eradication uniform stability

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Area of Science:

Mathematical Biology
Ecology
Pest Management

Background:

Chemical control is vital for pest management.
Delayed responses to pesticide application can hinder effectiveness.

Purpose of the Study:

To develop mathematical models for evaluating delayed effects in pest control.
To analyze the stability of pest eradication solutions.
To identify key parameters influencing pest control success.

Main Methods:

Formulation of novel mathematical models combining delayed impulse differential equations with pulse pesticide spraying.
Analysis of uniform stability of the pest eradication solution.
Development of a double delayed impulse differential equation considering population growth and pesticide response delays.
Study of asymptotic and exponential stability and identification of pest extinction thresholds.

Main Results:

The study analyzes the uniform stability of pest eradication.
Key parameters influencing pest control success are identified.
Threshold conditions for pest extinction are determined.

Conclusions:

The developed mathematical models effectively evaluate delayed pesticide responses.
Findings provide insights for optimizing pest control strategies under delayed conditions.
This research contributes to more effective chemical pest management approaches.