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In the present work, SEIRS mathematical model for COVID-19 Pandemic is formulated and analyzed. The positivity, boundedness, and existence of the solutions are proved. The Disease free and endemic equilibrium points are identified. Stability Analysis of the model is performed with the concept of Next generation matrix. It is observed that if basic reproduction number is less than one then number of cases decrease over time and eventually the disease die out, and if the basic reproduction number is equals to one then cases are stable. On the other hand, if the basic reproduction number is…mehr

Produktbeschreibung
In the present work, SEIRS mathematical model for COVID-19 Pandemic is formulated and analyzed. The positivity, boundedness, and existence of the solutions are proved. The Disease free and endemic equilibrium points are identified. Stability Analysis of the model is performed with the concept of Next generation matrix. It is observed that if basic reproduction number is less than one then number of cases decrease over time and eventually the disease die out, and if the basic reproduction number is equals to one then cases are stable. On the other hand, if the basic reproduction number is greater than one then the number of cases increase over time gets worth. Lastly, numerical simulations are given to illustrate analytical results.
Autorenporträt
Abayneh Fentie is a lecturer at Hawassa University.He holds a B.Ed Degree in Mathematics from Dilla University in 1999 E.C and his M.Sc. degree in the same field from Addis Ababa University in 2003 E.C. Now,He is doing a PhD degree in Mathematical Modeling at Wollega University and his area of interest is Mathematical Eco-Epidemiology.