We study a deterministic continuous-time predator–prey model with parasites, where the prey population is the intermediate host for the parasites. It is assumed that the parasites can affect the behavior of the predator–prey interaction due to infection. The asymptotic dynamics of the system are investigated. A stochastic version of the model is also presented and numerically simulated. We then compare and contrast the two types of models.
- Continuous–time Markov chain
- Global asymptotic stability
- Predator-prey-parasite interaction
- Uniform persistence