GLOBAL STABILITY ANALYSIS OF A TWO-STRAIN EPIDEMIC MODEL WITH AWARENESS
In this article, an epidemic model consisting of two strains with awareness for each strain is studied. Four equilibrium points were obtained; disease free equilibrium, endemic with respect to strain 1, endemic with respect to strain 2, and endemic with respect to both strains.
Lyapunov functions were used to conduct the global stability analysis of the equilibrium points. Two basic reproduction ratios and are found, and the global stability depends on their magnitude. If both are less than one, the two strains die out, and if both are greater than one, they persist. Epidemic occurs with respect to any strain with basic reproduction ratio greater than one. Numerical simulations were carried out to support the analytic results and to show the effect of awareness for strain 1 against strain 2 and the awareness for strain 2 against strain 1.
two strain, global stability analysis, awareness, mutation, basic reproduction ratios.