Predicting induced chaos in the population dynamics of an insect species
نویسنده
چکیده
A difference equation model based in biological mechanisms is presented describing the laboratory population dynamics of the flour beetle Tribolium freemani. This is the first time a model for this insect species is presented. The model was fitted to laboratory data and evaluated. The results suggest that the model’s predictive ability is good and that the biological mechanisms taken under consideration are sufficient to explain the dynamics. For certain parameter manipulations the model predicts chaotic behaviour with strong statistical confidence. These manipulations can be experimentally imposed. An experiment is proposed in order to verify the model’s predictions.
منابع مشابه
Control of a Chemical Reactor with Chaotic Dynamics
In this paper, control of a non-isothermal continuous stirred tank reactor in which two parallel autocatalytic reactions take place has been addressed. The reactor shows chaotic behavior for a certain set of reactor parameters. In order to control the product concentration, an optimal state feedback controller has been designed. Since concentrations of reactor species are ...
متن کاملInteresting dynamic behavior in some discrete maps
Different discrete models of population dynamics of certain insects have been investigated under various feasible conditions within the framework of nonlinear dynamics. Evolutionary phenomena are discussed through bifurcation analysis leading to chaos. Some tools of nonlinear dynamics, such as Lyapunov characteristic exponents (LCE), Lyapunov numbers, correlation dimension, etc. are calculated ...
متن کاملEstimation of Population dynamics indices of parasites infected on cultured ornamental fishes according to the climatic changes in Kurunegala district, Sri Lanka
Population dynamics indices of parasites infected on cultured ornamental fishes according to the climatic changes in kurunagala district,Sri Lanka were estimated.Sample of gold fishes and koi carps which were harvested from mud ponds in ornamental fish breeding and traning center was examined for ecto parasites. Four population indices were calculated for each abundant parasite species and dive...
متن کاملComplex Dynamics in Ecological Time Series
Although the possibility of complex dynamical behaviors-limit cycles, quasiperiodic oscillations, and aperiodic chaos-has been recognized theoretically, most ecologists are skeptical of their importance in nature. In this paper we develop a methodology for reconstructing endogenous (or deterministic) dynamics from ecological time series. Our method consists of fitting a response surface to the ...
متن کاملInterannual variability in species composition explained as seasonally entrained chaos.
The species composition of plankton, insect and annual plant communities may vary markedly from year to year. Such interannual variability is usually thought to be driven by year-to-year variation in weather conditions. Here we examine an alternative explanation. We studied the effects of regular seasonal forcing on a multi-species predator-prey model consisting of phytoplankton and zooplankton...
متن کامل