Evaluation of the Dynamics of Psychological Panic Factor, Glucose Risk and Estrogen Effects on Breast Cancer Model

Zahraa Aamer; Shireen Jawad; Belal Batiha; Ali Hasan Ali; Firas Ghanim; Alina Alb Lupaş

doi:10.3390/computation12080160

journal article Open Access Aug 08, 2024

Evaluation of the Dynamics of Psychological Panic Factor, Glucose Risk and Estrogen Effects on Breast Cancer Model

Zahraa Aamer Shireen Jawad

Computation Vol. 12 No. 8 pp. 160 · MDPI AG

View at Publisher Save 10.3390/computation12080160

Abstract

Contracting cancer typically induces a state of terror among the individuals who are affected. Exploring how glucose excess, estrogen excess, and anxiety work together to affect the speed at which breast cancer cells multiply and the immune system’s response model is necessary to conceive of ways to stop the spread of cancer. This paper proposes a mathematical model to investigate the impact of psychological panic, glucose excess, and estrogen excess on the interaction of cancer and immunity. The proposed model is precisely described. The focus of the model’s dynamic analysis is to identify the potential equilibrium locations. According to the analysis, it is possible to establish four equilibrium positions. The stability analysis reveals that all equilibrium points consistently exhibit stability under the defined conditions. The transcritical bifurcation occurs when the glucose excess is taken as a bifurcation point. Numerical simulations are employed to validate the theoretical study, which shows that psychological panic, glucose excess, and estrogen excess could be significant contributors to the spread of tumors and weakness of immune function.

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Details

Published: Aug 08, 2024
Vol/Issue: 12(8)
Pages: 160
License: View

Authors

Z

Zahraa Aamer

Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq

S

Shireen Jawad

Department of Mathematics, College of Science, University of Baghdad, Baghdad 10071, Iraq

B

Belal Batiha

Faculty of Science and Information Technology, Mathematics Department, Jadara University, Irbid 21110, Jordan

A

Ali Hasan Ali

Institute of Mathematics, University of Debrecen, Pf. 400, H-4002 Debrecen, Hungary; Jadara University Research Center, Jadara University, Irbid 21110, Jordan

F

Firas Ghanim

Department of Mathematics, College of Sciences, University of Sharjah, Sharjah 27272, United Arab Emirates

A

Alina Alb Lupaş

Department of Mathematics and Computer Science, University of Oradea, 1 Universitatii Street, 410087 Oradea, Romania

Funding

University of Oradea

Cite This Article

Zahraa Aamer, Shireen Jawad, Belal Batiha, et al. (2024). Evaluation of the Dynamics of Psychological Panic Factor, Glucose Risk and Estrogen Effects on Breast Cancer Model. Computation, 12(8), 160. https://doi.org/10.3390/computation12080160

Evaluation of the Dynamics of Psychological Panic Factor, Glucose Risk and Estrogen Effects on Breast Cancer Model

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