Program
| CTA6d | |
|---|---|
| Horst Malchow | |
| Institute of Environmental Systems Research, University of Osnabrueck, Germany | |
| Title | Pattern Generation and Competition in Models of Population Dynamics |
| Abstract | The formation and spread of spatiotemporal structures in a simple predation-diffusion model with Holling type II or III predator is demonstrated. The dynamics is modelled by reaction-diffusion equations. Spatial spread will be presented as well as competition of concentric and/or spiral population waves with non-oscillatory sub-populations for space, and long transients to spatially homogeneous population distributions. Environmental fluctuations are modelled as external multiplicative noise, using stochastic partial differential equations. The external noise can enhance the survival of a population that would go extinct in a deterministic environment. Noise can also induce local and global oscillations as well as local coherence resonance and global synchronization. The results are related to plankton dynamics, partly with viral infections of the prey population [1-3]. References [1] Sieber, M., Malchow, H. & Schimansky-Geier, L. (2007). Constructive effects of environmental noise in an excitable prey-predator plankton system with infected prey. Ecological Complexity 4, 223--233. [2] Siekmann, I., Malchow, H. & Venturino, E. (2008). Predation may defeat spatial spread of infection. Journal of Biological Dynamics 2, 40--54. [3] Malchow, H., Petrovskii, S.V. & Venturino, E. (2008). Spatiotemporal patterns in ecology and epidemiology: Theory, models, simulations. CRC Mathematical and Computational Biology Series. Boca Raton: CRC Press. |
| Location | Woodward 6 |