In a herd of 200 cattle a contagious disease has a basic reproduction number $R_0 = 2.5$. A vaccine reduces susceptibility by 80 % and costs ₦5 000 per animal. To achieve herd immunity the proportion vaccinated $p$ must satisfy $(1 - e\,p)\,R_0

Question

In a herd of 200 cattle a contagious disease has a basic reproduction number $R_0 = 2.5$. A vaccine reduces susceptibility by 80 % and costs ₦5 000 per animal. To achieve herd immunity the proportion vaccinated $p$ must satisfy $(1 - e\,p)\,R_0 < 1$ where $e = 0.80$.\n\n(a) Determine the minimum number of cattle that must be vaccinated and the total vaccination cost.\n(b) If an outbreak would cause a loss of 30 % of the unvaccinated cattle, each valued at ₦150 000, decide whether vaccination is cost‑effective.

Accepted Answer

Vaccinate at least 150 cattle; cost ₦750000; vaccination is cost‑effective

Neco Model Questions Vol1 2020 Agricultural Science Question 14

Answer Options

About This Question

Master the Exam!