Browsing by Subject "Stability analysis"
Now showing items 1-6 of 6
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A fitted numerical method for a model arising in HIV-related cancer-immune system dynamics
(Tianjin Polytechnic University, 2019)The effect of diseases such as cancer and HIV among our societies is evident. Thus, from the mathematical point of view many models has been developed with the aim to contribute towards understanding the dynamics of ... -
A fitted operator method for a model arising in vascular tumor dynamics
(Tianjin Polytechnic University, 2020)In this paper, we consider a model for the population kinetics of human tumor cells in vitro, differentiated by phases of the cell division cycle and length of time within each phase. Since it is not easy to isolate ... -
A fitted operator method for tumor cells dynamics in their micro-environment
(Tianjin Polytechnic University, 2019)In this paper, we consider a quasi non-linear reaction-diffusion model designed to mimic tumor cells’ proliferation and migration under the influence of their micro-environment in vitro. Since the model can be used to ... -
Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application
(Communications in Mathematical Biology and Neuroscience, 2018)In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady ... -
Mathematical analysis and numerical simulation of a tumor-host model with chemotherapy application
(Tianjin Polytechnic University, 2018)In this paper, a system of non-linear quasi-parabolic partial differential system, modeling the chemotherapy application of spatial tumor-host interaction is considered. At some certain parameters, we derive the steady state ... -
An unconditionally stable nonstandard finite difference method to solve a mathematical model describing Visceral Leishmaniasis
(Elsevier, 2021)In this paper, a mathematical model of Visceral Leishmaniasis is considered. The model incorporates three populations, the human, the reservoir and the vector host populations. A detailed analysis of the model is presented. ...