Dynamic analysis of a tumor-immune system under Allee effect
type: Item
instance of: scholarly article
title: Dynamic analysis of a tumor-immune system under Allee effect
zbMATH Open document ID: 1459.92057
DOI: 10.1155/2020/4892938
author: Chunmei Zeng
author: Shao-juan Ma
published in: Mathematical Problems in Engineering
publication date: 2020-10-13T00:00:00Z
review text: Summary: In this paper, we develop a definite tumor-immune model considering Allee effect. The deterministic model is studied qualitatively by mathematical analysis method, including the positivity, boundness, and local stability of the solution. In addition, we explore the effect of random factors on the transition of the tumor-immune system from a stable coexistence equilibrium point to a stable tumor-free equilibrium point. Based on the method of stochastic averaging, we obtain the expressions of the steady-state probability density and the mean first-passage time. And we find that the Allee effect has the greatest impact on the number of cells in the system when the Allee threshold value is within a certain range; the intensity of random factors could affect the likelihood of the system crossing from the coexistence equilibrium to the tumor-free equilibrium.
Mathematics Subject Classification ID: 92C60
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 60H10
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 7259942
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2020/4892938
OpenAlex ID: W3082204076
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description: scientific article; zbMATH DE number 7259942