Spatial pattern formation of a predator-prey system with predator pursuit and prey evasion
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Spatial synchrony, which can be result of high migration, can increase the risk of regional extinction, and as a result reduce metapopulation persistence. Coupled patch models, based on a within-patch discrete growth model, are used to investigate the impact of predator pursuit (PP) and prey evasion (PE) on spatial synchrony and pattern formation in a metapopulation framework. Results show that PP and PE together can reduce spatial synchrony and thus the improvement of metapopulation persistence. PP and PE on their own do not signi¯cantly contribute towards asynchrony, however, they do contribute towards higher average population sizes, which in turn results in the improvement of metapopulation persistence. Spatially explicit predator-prey systems with local migration without PP and PE can produce self-organized spatial patterns such as spiral waves and circular waves. The e®ect of PP and PE on spatial pattern formation can decrease spatial synchrony and change the spiral and circular waves to spatial chaos which result in asynchrony of neighbouring patches and improve metapopulation persistence.