Spatial patterns for population models in a heterogeneous environment (Q1884551)

The author shows how patterned solutions in various population models can be obtained by suitable spatially heteregeneous environments. The population models to be discussed include the one species logistic model, the two-species competition model and the two-species predator-prey model. One basic observation used in this study is that when some of the coefficient functions vanish on a part of the underlyig domain, the behaviour of the model undergoes some deep qualitative changes.