Browsing by Author "Kailash, Patidar"
Now showing items 1-6 of 6
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Efficient numerical method for a model arising in biological stoichiometry of tumor dynamics
Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (American Institute of Mathematical Sciences, 2019)In this paper, we extend a system of coupled first order non-linear system of delay differential equations (DDEs) arising in modeling of stoichiometry of tumour dynamics, to a system of diffusion-reaction system of partial ... -
A fitted numerical method for a model arising in HIV-related cancer-immune system dynamics
Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (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
Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (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
Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (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
Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (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 ... -
Numerical solution for a problem arising in angiogenic signalling
Kolade, Owolabi; Kailash, Patidar; Shikongo, Albert (American Institute of Mathematical Sciences, 2019)Since the process of angiogenesis is controlled by chemical signals, which stimulate both repair of damaged blood vessels and formation of new blood vessels, then other chemical signals known as angiogenesis inhibitors ...