Preprint

·2024

A novel dynamic model describing the spread of virus

Veli Shakhmurov , Muhammet Kurulay YTU , Aida Sahmurova

Abstract

We study here, the dynamics and stability behaviour of mathematical model of virus spread in population and its interaction with human immune systems cells. The endemic equilibrium points are nd and local stability analysis to all equilibria points of the related model are obtained. Further the global stability analysis either, at disease free equilibria, andco at endemic equilibria is discussed by constructing Lyapunov function which show the validity of the concern model exist.

Keywords

Stability (learning theory) Lyapunov function Population Equilibrium point Mathematical economics Dynamics (music) Statistical physics Function (biology) Mathematics Applied mathematics Econometrics Computer science Physics Biology Mathematical analysis Differential equation Evolutionary biology Sociology Demography

Subject Areas

Mathematical and Theoretical Epidemiology and Ecology Models ·Public Health, Environmental and Occupational Health ·Health Sciences
COVID-19 epidemiological studies ·Modeling and Simulation ·Physical Sciences
Influenza Virus Research Studies ·Epidemiology ·Health Sciences

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