Related Experiment Video
Updated: Jul 24, 2025

Predicting the Effectiveness of Population Replacement Strategy Using Mathematical Modeling
Published on: July 4, 2007
Survival analysis of a stochastic impulsive single-species population model with migration driven by environmental
Xiangjun Dai1,2, Jianjun Jiao3,4, Qi Quan1
1School of Mathematical Sciences, Guizhou Normal University, Guiyang, 550025, People's Republic of China.
Abstract:
Considering the influence of environmental toxicant on population migration between patches, we propose and study a stochastic impulsive single-species population model with migration driven by environmental toxicant in this paper. We first discuss the existence and uniqueness of global positive solutions of the model by constructing the Lyapunov function. Then, we obtain sufficient conditions for extinction, stochastic persistence and persistence in the mean of the single-species population. Finally, we present some numerical simulations to illustrate our results. These results provide insights for the conservation and management of species in polluted environments.
Related Concept Videos
Mechanistic Models: Compartment Models in Individual and Population Analysis
Genetic Drift
Mutation, Gene Flow, and Genetic Drift
Assumptions of Survival Analysis
Introduction To Survival Analysis
The primary goal of survival analysis is to estimate survival time—the time...
Parametric Survival Analysis: Weibull and Exponential Methods
Weibull Distribution
The Weibull distribution is a flexible model used in parametric survival analysis. It can handle both increasing and decreasing hazard rates, depending on its shape parameter...

