A Minimal Model of Pursuit-Evasion in a Predator-Prey System
Y. Tyutyunov, L. Titova, R. Arditi (2010)
Mathematical Modelling of Natural Phenomena
Similarity:
A conceptual minimal model demonstrating spatially heterogeneous wave regimes interpreted as pursuit-evasion in predator-prey system is constructed and investigated. The model is based on the earlier proposed hypothesis that taxis accelerations of prey and predators are proportional to the density gradient of another population playing a role of taxis stimulus. Considering acceleration rather than immediate velocity allows obtaining realistic solutions even while ignoring variations...