Computational modelling
Eshetu Dadi Gurmu; Mengesha Dibru Firdawoke; Mekash Ayalew Mohammed
Abstract
In this paper, a nonlinear mathematical model of COVID-19 was formulated. We proposed a SEIQR model using a system of ordinary differential equations. COVID-19 free equilibrium and endemic equilibrium points of the model are obtained. A basic reproduction number of the model is investigated by the next-generation ...
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In this paper, a nonlinear mathematical model of COVID-19 was formulated. We proposed a SEIQR model using a system of ordinary differential equations. COVID-19 free equilibrium and endemic equilibrium points of the model are obtained. A basic reproduction number of the model is investigated by the next-generation matrix. The stability analysis of the model equilibrium points was investigated using basic reproduction numbers. The results show that the disease-free equilibrium of the COVID-19 model is stable if the basic reproduction number is less than unity and unstable if the basic reproduction number is greater than unity. Sensitivity analysis was rigorously analyzed. Finally, numerical simulations are presented to illustrate the results.
Eshetu Dadi Gurmu; Boka Kumsa Bole; Purnachandra Rao Koya
Abstract
The aim of study is to formulate and analyze a mathematical model for coinfection of sexually transmitted diseases HPV, HIV, and HSV-II. The well possedness of the developed model equations was proved and the equilibrium points of the model have been identified. Qualitative analysis of the formulated ...
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The aim of study is to formulate and analyze a mathematical model for coinfection of sexually transmitted diseases HPV, HIV, and HSV-II. The well possedness of the developed model equations was proved and the equilibrium points of the model have been identified. Qualitative analysis of the formulated model equations was proved and the equilibrium points of the model have been identified. Qualitative analysis of the formulated model was established using basic reproduction number. The results show that the disease free equilibrium is locally asymptotically stable if the basic reproduction is less than one. The endemic states are considered to exist when the basic reproduction number for each disease is greater than one. Finally, numerical simulations of the model equations are carried out using the software MATLAB R2015b with ODE45 solver. Numerical simulations illustrated that all infection solutions converge to zero when the basic reproduction number is less than unity.