The Lotka-Volterra predator-prey model assumes that prey reproduction causes the population to increase exponentially whilst starvation causes the prey population decrease exponentially. The feeding of the predators results in a mixing term that is the same as that leading to logistic growth in the Kermack-McKendrick model.
Note that this model is a standard textbook example in Mathematical biology and yet uses the exponential growth model of Malthus that was debunked by Darwin.
Exponential growth, Exponential decay, Logistic
| 1798 AD | Malthus | Exponential population growth |
| 1859 AD | Darwin | Debunking of Malthus |
| 1910 AD | Lotka & Volterra | Lotka-Volterra predator-prey model |