Stability analysis in COVID-19 within-host model with immune response
Alexis Erich S Almocera1, Griselda Quiroz2, Esteban A Hernandez-Vargas3,4
1Division of Physical Sciences and Mathematics, College of Arts and Sciences, University of the Philippines Visayas, Philippines.
Abstract:
The 2019 coronavirus disease (COVID-19) is now a global pandemic. Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) is the causative pathogen of COVID-19. Here, we study an in-host model that highlights the effector T cell response to SARS-CoV-2. The stability of a unique positive equilibrium point, with viral load suggests that the virus may replicate fast enough to overcome T cell response and cause infection. This overcoming is the bifurcation point, near which the orders of magnitude for can be sensitive to numerical changes in the parameter values. Our work offers a mathematical insight into how SARS-CoV-2 causes the disease.
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