The novel coronavirus disease (COVID19) emerged in Wuhan, China in December 2019. In a matter of weeks, the disease had spread well outside China, and now reaching countries in all parts of the globe. Its treatment and recovery are the two most primary concerns for every country. Recently, medical science has shown some studies that reveal post-infection Hydroxychloroquine (HCQ) treatment followed by lipopeptide EK1C4 could be an effective interference in prevention of the disease COVID19, spreaded by SARS-CoV-2. However, there are some side effects of these drugs, especially for aged persons, but this is yet to be explored by rescaling the drug dosage with a proper dosing time interval.
We propose a mathematical model that explains combination drug therapy on the dynamics of SARSCoV-2/COVID19. We apply the method of impulsive differential equation in our model and it is useful for elucidating insights into regular drug dosing. Systematic approach of this combination of drug therapy allows us to gain more fruitful results.
In this model, we first investigate the chaotic nature of the system induced by SARS-CoV-2 with and without any treatment. Then we enquire how drug therapy reduces the threshold value of infection and observe its complex dynamics. We perform equilibrium analysis, local and global stability analysis and find the region of safe dosing so that there occurs no side-effects during treatment and afterwards. Our results suggest that only proper treatment enhances the stability in a SARS-CoV-2 infected system.