predator vs prey and predator populations change

Typically an extreme event can be said to have occurred if a variable is several standard deviations away from the mean, and such unusually large values signal occurrences of catastrophic significance. the system is interrupted by sudden excursions to values that are significantly different from the mean value, with such deviations being aperiodic, recurrent and rare.

An extreme event can be considered as one where a state variable (or variables) in an engineered or natural system exhibits large deviations from the average, i.e. These results indicate how occurrences of extremely large predator populations can emerge in coupled population dynamics, and in a more general context they suggest a generic class of deterministic nonlinear systems that can naturally exhibit extreme events Similar content being viewed by othersĭue to their huge impact in phenomena that range from traffic jams to weather disturbances, the existence of extreme events has triggered much research interest 1. These trends are further corroborated by fits to Generalized Extreme Value distributions, where the location and scale factor of the distribution increases markedly with coupling strength, indicating the crucial role of coupling interactions in the generation of extreme events. The maximum value of the predator population in a patch, as well as the maximum value of the predator biomass, increases with coupling strength. Further, the global predator biomass also exhibits sudden uncorrelated occurrences of large deviations from the mean as the coupled system evolves.

We find that the system yields aperiodic, recurrent and rare explosive bursts of predator density in a few isolated spatial patches from time to time.

We study the dynamics of a ring of patches with vegetation–prey–predator populations, coupled through interactions of the Lotka–Volterra type.

Predator vs prey and predator populations change