Stability, Hopf bifurcation and control of a fractional order delay cervical cancer model with HPV infection DOI
Ruiqing Shi, Chong‐Ke Zhao

Computer Methods in Biomechanics & Biomedical Engineering, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 25

Published: Feb. 8, 2025

This paper presents a basic model for the therapeutic effect of two drugs on patients with early cervical cancer. Two cases are considered: constant control and optimal control. For case one, system is proved to have unique non-negativity solution if initial values positive; then sufficient conditions existence stability equilibriums derived; Hopf bifurcation also considered. two, by using Pontryagin's Maximum Principle, we get solution. Some examples numerical simulations presented. Discussions conclusions listed at end.

Language: Английский

Stability, Hopf bifurcation and control of a fractional order delay cervical cancer model with HPV infection DOI
Ruiqing Shi, Chong‐Ke Zhao

Computer Methods in Biomechanics & Biomedical Engineering, Journal Year: 2025, Volume and Issue: unknown, P. 1 - 25

Published: Feb. 8, 2025

This paper presents a basic model for the therapeutic effect of two drugs on patients with early cervical cancer. Two cases are considered: constant control and optimal control. For case one, system is proved to have unique non-negativity solution if initial values positive; then sufficient conditions existence stability equilibriums derived; Hopf bifurcation also considered. two, by using Pontryagin's Maximum Principle, we get solution. Some examples numerical simulations presented. Discussions conclusions listed at end.

Language: Английский

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