Related Experiment Video
Updated: Feb 23, 2026

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Effect of impulsive controls in a model system for age-structured population over a patchy environment
Zhichun Yang1, Chuangxia Huang2, Xingfu Zou3,4
1College of Mathematical Sciences, Chongqing Normal University, Chongqing, 400047, People's Republic of China.
Abstract:
In this paper, a very general model of impulsive delay differential equations in n-patches is rigorously derived to describe the impulsive control of population of a single species over n-patches. The model allows an age structure consisting of immatures and matures, and also considers mobility and culling of both matures and immatures. Conditions are obtained for extinction and persistence of the model system under three special scenarios: (1) without impulsive control; (2) with impulsive culling of the immatures only; and (3) with impulsive culling of the matures only, respectively. In the case of persistence, the persistence level is also estimated for the systems in the case of identical n patches, by relating the issue to the dynamics of multi-dimensional maps. Two illustrative examples and their numerical simulations are given to show the effectiveness of the results. Based on the theoretical results, some strategies of impulsive culling are provided to eradicate the population of a pest species.
More Related Videos
09:01A Method for Investigating Age-related Differences in the Functional Connectivity of Cognitive Control Networks Associated with Dimensional Change Card Sort Performance
Published on: May 7, 2014
09:23Methodology for Developing Life Tables for Sessile Insects in the Field Using the Whitefly, Bemisia tabaci, in Cotton As a Model System
Published on: November 1, 2017
Related Concept Videos
Modeling with Differential Equations
Population Growth
Mechanistic Models: Compartment Models in Individual and Population Analysis
Optimal Foraging
Limits to Natural Selection
Conservation of Small Populations