Analysis of a Class of Predation-Predation Model Dynamics with Random Perturbations

In this paper, we study a class of predation–prey biological models with random perturbation. Firstly, the existence and uniqueness of systematic solutions can be proven according to Lipschitz conditions, and then we prove that the systematic solution exists globally. Moreover, the article discusses...

Full description

Saved in:
Bibliographic Details
Published inMathematics (Basel) Vol. 10; no. 18; p. 3238
Main Authors Tan, Xuewen, Liu, Pengpeng, Luo, Wenhui, Chen, Hui
Format Journal Article
LanguageEnglish
Published Basel MDPI AG 01.09.2022
Subjects
Biological models (mathematics)
Biology
Brownian motion
Food science
gradual properties
Lipschitz conditions
Mathematical models
Mathematics
numerical simulation
Perturbation
Perturbation (Mathematics)
Population
population extinction
Predation
Predation (Biology)
random perturbation
stationary distribution
China
Online AccessGet full text

Cover

More Information
Summary:In this paper, we study a class of predation–prey biological models with random perturbation. Firstly, the existence and uniqueness of systematic solutions can be proven according to Lipschitz conditions, and then we prove that the systematic solution exists globally. Moreover, the article discusses the long-term dynamical behavior of the model, which studies the stationary distribution and gradual properties of the system. Next, we use two different methods to give the conditions of population extinction. From what has been discussed above, we can safely draw the conclusion that our results are reasonable by using numerical simulation.
ISSN:2227-7390
2227-7390
DOI:10.3390/math10183238