Periodically Varying Externally Imposed Environmental Effects on Population Dynamics

Abstract

Effects of externally imposed periodic changes in the environment on population dynamics are studied with the help of a simple model. The environmental changes are represented by the temporal and spatial dependence of the competition terms in a standard equation of evolution. Possible applications of the analysis are on the one hand to bacteria in Petri dishes and on the other to rodents in the context of the spread of the Hantavirus epidemic. The analysis shows that spatio-temporal structures emerge, with interesting features which depend on the interplay of separately controllable aspects of the externally imposed environmental changes.

7 pages, 8 figures, included

References in corpus (7)

• Non-Hermitian Localization and Population Biology
• Non-local Interaction Effects on Pattern Formation in Population Dynamics
• Spatio-temporal patterns in the Hantavirus infection
• Applicability of the Fisher Equation to Bacterial Population Dynamics
• Analytic solutions for nonlinear waves in coupled reacting systems
• Swarming ring patterns in bacterial colonies exposed to ultraviolet radiation
• Extinction transition in bacterial colonies under forced convection

Cited by in corpus (6)

• Nonlinearity in Bacterial Population Dynamics: Proposal for Experiments for the Observation of Abrupt Transitions in Patches
• Critical patch size reduction by heterogeneous diffusion
• Population dynamics in an intermittent refuge
• Study of Arbitrary Nonlinearities in Convective Population Dynamics with Small Diffusion
• Critical habitat size of organisms diffusing with stochastic resetting
• Diffusion and Home Range Parameters from Rodent Population Measurements in Panama