Complex discrete dynamics from simple continuous population models.
Nonoverlapping generations have been classically modelled as difference equations in order to account for the discrete nature of reproductive events. However, other events such as resource consumption or mortality are continuous and take place in the within-generation time. We have realistically assumed a hybrid ODE bidimensional model of resources and consumers with discrete events for reproduction. Numerical and analytical approaches showed that the resulting dynamics resembles a Ricker map, including the doubling route to chaos. Stochastic simulations with a handling-time parameter for indirect competition of juveniles may affect the qualitative behaviour of the model.
Gamarra
Javier G P
JG
Complex Systems Research Group, Department of Physics FEN, Universitat Politècnica de Catalunya, Campus Nord, Mòdul B4-B5, 08034 Barcelona, Spain. javier@complex.upc.es
Solé
Ricard V
RV
D000818:Animals; D003198:Computer Simulation; D004463:Ecology; D006801:Humans; D008954:Models, Biological; D017711:Nonlinear Dynamics; D011157:Population Dynamics; D013269:Stochastic Processes