1. On the global dynamics of the cancer AIDS-related mathematical model
- Creator:
- Starkov, Konstantin E. and Plata-Ante, Corina
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- cancer growth model, AIDS, compact invariant set, omega-limit set, localization, and ultimate cancer free dynamics
- Language:
- English
- Description:
- In this paper we examine some features of the global dynamics of the four-dimensional system created by Lou, Ruggeri and Ma in 2007 which describes the behavior of the AIDS-related cancer dynamic model in vivo. We give upper and lower ultimate bounds for concentrations of cell populations and the free HIV-1 involved in this model. We show for this dynamics that there is a positively invariant polytope and we find a few surfaces containing omega-limit sets for positive half trajectories in the positive orthant. Finally, we derive the main result of this work: sufficient conditions of ultimate cancer free behavior.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public