Stability and Bifurcation of a Delay Cancer Model in the Polluted Environment Stability and bifurcation of a delay cancer model

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Ahmed Ali Mohsen
https://orcid.org/0000-0003-3812-8918
Raid Kamel Naji
https://orcid.org/0000-0003-1063-9775

Abstract

It is well known that the spread of cancer or tumor growth increases in polluted environments. In this paper, the dynamic behavior of the cancer model in the polluted environment is studied taking into consideration the delay in clearance of the environment from their contamination. The set of differential equations that simulates this epidemic model is formulated. The existence, uniqueness, and the bound of the solution are discussed. The local and global stability conditions of disease-free and endemic equilibrium points are investigated. The occurrence of the Hopf bifurcation around the endemic equilibrium point is proved. The stability and direction of the periodic dynamics are studied. Finally, the paper is ended with a numerical simulation in order to validate the analytical results.

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How to Cite
Mohsen, A., & Naji, R. (2022). Stability and Bifurcation of a Delay Cancer Model in the Polluted Environment. Advances in Systems Science and Applications, 22(3), 1-17. https://doi.org/10.25728/assa.2022.22.3.983
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