A pandemic model shown as schematic. S(t) is for healthy people's, I(t) is for sick people's...

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A pandemic model shown as schematic. S(t) is for healthy people's, I(t) is for sick people's and H(t) is for hopsitalized people's total number. ^= Birth rate μ= Natural Death rate B= transmission infection rate v= hospitalization rate a. Write the function of this model b. v= a and Y(gamma)= μ. Turn the new functions into dimesionless (dimension free). Make definitions. c. Find the balance points which are virus independent and endemic. On the 3 dimension space, take one point (S, I, H) d. For the balance point( independent from the virus) to be a stable point, find the relation between RO( coefficient of increase) and g. RO=B*^/ μ(a+ μ) g= μ/(a+ μ) For the d part, use the condition of 3x3 Jalcobian matrix's all eigenvalues must be negative. S IL P I Y H Hμ A pandemic model shown as schematic. S(t) is for healthy people's, I(t) is for sick people's and H(t) is for hopsitalized people's total number. ^= Birth rate μ= Natural Death rate B= transmission infection rate v= hospitalization rate a. Write the function of this model b. v= a and Y(gamma)= μ. Turn the new functions into dimesionless (dimension free). Make definitions. c. Find the balance points which are virus independent and endemic. On the 3 dimension space, take one point (S, I, H) d. For the balance point( independent from the virus) to be a stable point, find the relation between RO( coefficient of increase) and g. RO=B*^/ μ(a+ μ) g= μ/(a+ μ) For the d part, use the condition of 3x3 Jalcobian matrix's all eigenvalues must be negative. S IL P I Y H Hμ

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a dSdtBSINvSHN dIdtBSINHvI dHdtvSHNHRH dRdtHR b St the number of susceptible peopl... View the full answer