Dynamic Analysis of a Tumor-Immune System under Allee Effect
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-02
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Zeng, Chunmei& Ma, Shaojuan. 2020. Dynamic Analysis of a Tumor-Immune System under Allee Effect. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1195498
Modern Language Association (MLA)
Zeng, Chunmei& Ma, Shaojuan. Dynamic Analysis of a Tumor-Immune System under Allee Effect. Mathematical Problems in Engineering No. 2020 (2020), pp.1-11.
https://search.emarefa.net/detail/BIM-1195498
American Medical Association (AMA)
Zeng, Chunmei& Ma, Shaojuan. Dynamic Analysis of a Tumor-Immune System under Allee Effect. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-11.
https://search.emarefa.net/detail/BIM-1195498
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1195498