Journal of Jilin University Science Edition ›› 2024, Vol. 62 ›› Issue (2): 189-0196.
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ZHAO Hanchi, LI Jiemei
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Abstract: We considered a class of tumor-immune model, discussed the existence conditions of their equilibrium points, and used characteristic equations to analyze the local kinetic stability of each equilibrium point, proving that the model underwent Hopf bifurcation under the corresponding conditions. By calculating the first Lyapunov coefficient, it can be concluded that if the coefficient is not zero, the model undergoes Hopf bifurcation, the bifurcation is supercritical if the coefficient is less than zero, and the bifurcation is subcritical if the coefficient is greater than zero. Finally, numerical simulations are used to validate the theoretical analysis results.
Key words: tumor-immune model, stability, Hopf bifurcation, supercritical, subcritical
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ZHAO Hanchi, LI Jiemei. Stability and Hopf Bifurcation Analysis of a Class of Tumor-Immune Models[J].Journal of Jilin University Science Edition, 2024, 62(2): 189-0196.
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