Now consider a wildlife population that is exposed to an infectious disease, with densities of susceptible and infected individuals given by S and I respectively. Use the information below to write down a set of ordinary differential equations that describe this system. • Susceptible hosts can reproduce at rate b and all offspring are born susceptible, but the disease prevents infected hosts from reproducing. • All hosts die at natural mortality rate d and infected hosts suffer further mortality at rate α. • Infectionoccursthroughdirectcontactofsusceptibleandinfectedhosts,withtheforceofinfectiongiven by βI. • Infected hosts can recover from disease at rate γ, but they do not gain immunity and instead return to being susceptible.
Now consider a wildlife population that is exposed to an infectious disease, with densities of susceptible and infected individuals given by S and I respectively. Use the information below to write down a set of ordinary differential equations that describe this system. • Susceptible hosts can reproduce at rate b and all offspring are born susceptible, but the disease prevents infected hosts from reproducing. • All hosts die at natural mortality rate d and infected hosts suffer further mortality at rate α. • Infectionoccursthroughdirectcontactofsusceptibleandinfectedhosts,withtheforceofinfectiongiven by βI. • Infected hosts can recover from disease at rate γ, but they do not gain immunity and instead return to being susceptible.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Now consider a wildlife population that is exposed to an infectious disease, with densities of susceptible and infected individuals given by S and I respectively. Use the information below to write down a set of ordinary differential equations that describe this system.
• Susceptible hosts can reproduce at rate b and all offspring are born susceptible, but the disease prevents infected hosts from reproducing.
• All hosts die at natural mortality rate d and infected hosts suffer further mortality at rate α.
• Infectionoccursthroughdirectcontactofsusceptibleandinfectedhosts,withtheforceofinfectiongiven
by βI.
• Infected hosts can recover from disease at rate γ, but they do not gain immunity and instead return to being susceptible.
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