The ongoing COVID-19 pandemic caused by SARS-CoV-2 virus, a highly contagious virus, affected most of the countries of Earth. COVID-19 is causing obstacles for public URLanizations and is affecting almost every aspect of human life. It has become an epidemic outbreak with more than 22 million confirmed infections and above 750 thousand deaths worldwide. Mathematical models may help to explore the transmission dynamics and control of COVID-19 in the absence of an effective medicine or ready-to-use vaccine. In this study, we consider a mathematical model on COVID-19 transmission with the prosocial awareness effect. The proposed model can have four equilibrium states based on different parametric conditions. The system has an awareness free, disease-free equilibrium which is locally asymptotically stable. The global stability conditions for this equilibrium is also studied. The basic reproduction number, R_0, is calculated using the next-generation matrix method. Using Lyapunov function theory and LaSalle Invariance Principle, the DFE is shown globally asymptotically stable under some parametric conditions . The existence of  awareness free, endemic equilibrium and  endemic equilibrium is presented. We have calibrated our proposed model parameters to fit daily cases and deaths from Colombia. Using the estimated parameters , we assess the impact of prosocial awareness during the outbreak and compare this strategy with popular control measures  .
The ongoing COVID-19 pandemic has affected most of the countries on Earth. It has become a pandemic outbreak with more than 24 million confirmed infections and above 840 thousand deaths worldwide. In this study, we consider a mathematical model on COVID-19 transmission with the prosocial awareness effect. The proposed model can have four equilibrium states based on different parametric conditions. The local and global stability conditions for awareness free, disease-free equilibrium is studied. Using Lyapunov function theory and LaSalle Invariance Principle, the disease-free equilibrium is shown globally asymptotically stable under some parametric constraints . The existence of unique awareness free, endemic equilibrium and unique endemic equilibrium is presented. We calibrate our proposed model parameters to fit daily cases and deaths from Colombia. Sensitivity analysis indicates that the transmission rate and learning factor related to awareness of susceptibles are very crucial for reduction in disease related deaths. Finally , we assess the impact of prosocial awareness during the outbreak and compare this strategy with popular control measures . Results indicate that prosocial awareness has competitive potential to flatten the curve .
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caused by SARS-CoV-2 virus, a highly contagious virus,
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of Earth. COVID-19 is causing obstacles for public URLanizations and is affecting almost every aspect of human life.
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an epidemic
a pandemic
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Mathematical models may help to explore the transmission dynamics and control of COVID-19 in the absence of an effective medicine or ready-to-use vaccine.
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system has an
local and global stability conditions for
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which is locally asymptotically stable. The global stability conditions for this equilibrium is also studied. The basic reproduction number, R_0, is calculated using the next-generation matrix method.
is studied.
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DFE
disease-free equilibrium
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conditions
constraints
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unique
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calibrate
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Using the estimated parameters
Sensitivity analysis indicates that the transmission rate and learning factor related to awareness of susceptibles are very crucial for reduction in disease related deaths. Finally
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. Results indicate that prosocial awareness has competitive potential to flatten the curve