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James Moore-Stanley edited The_Ross_Macdonald_model_is__.tex
almost 8 years ago
Commit id: e0e4c71fd5068b2fd8697661c509ff423cba87c8
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As mentioned for other equations, it is not important to understand the derivation of these formulas, but to have understand the effect of changing a variable in the equation to ultimately affect the quantity of what you are trying to measure. The Ross-Macdonald model is stated below in the form of two equations, one showing the maximum number of infected individuals, and the other showing the maximum number of infected
mosquitoes: mosquitoes.
\begin{align*}
\dot{Y} &= abI \left ( \frac{H-Y}{H}\right )-\varepsilon Y && \text{Infective humans} \\
\dot{I} &= ac(V-I)\frac{Y}{H}-\delta I && \text{Infective mosquitoes} \\