A mathematical model of the evolution and spread of pathogenic coronaviruses from natural host to human host

Chaos, Solitons, and Fractals
Fatma BozkurtJehad Alzabut

Abstract

Coronaviruses are highly transmissible and are pathogenic viruses of the 21st century worldwide. In general, these viruses are originated in bats or rodents. At the same time, the transmission of the infection to the human host is caused by domestic animals that represent in the habitat the intermediate host. In this study, we review the currently collected information about coronaviruses and establish a model of differential equations with piecewise constant arguments to discuss the spread of the infection from the natural host to the intermediate, and from them to the human host, while we focus on the potential spillover of bat-borne coronaviruses. The local stability of the positive equilibrium point of the model is considered via the Linearized Stability Theorem. Besides, we discuss global stability by employing an appropriate Lyapunov function. To analyze the outbreak in early detection, we incorporate the Allee effect at time t and obtain stability conditions for the dynamical behavior. Furthermore, it is shown that the model demonstrates the Neimark-Sacker Bifurcation. Finally, we conduct numerical simulations to support the theoretical findings.

Citations

Oct 15, 2020·Advances in Difference Equations·Ndolane Sene
Jan 5, 2021·Chaos, Solitons, and Fractals· AbdullahHussam Alrabaiah
Nov 24, 2020·Results in Physics·Muhammad AwaisSaeed Islam
Apr 1, 2021·Computer Methods in Biomechanics and Biomedical Engineering·OPhir NaveIsrael HarTuv
Aug 17, 2021·Archives of Computational Methods in Engineering : State of the Art Reviews·Asif AfzalIrfan Anjum Badruddin

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