Volume 111, Number 4, August 2015
|Number of page(s)||6|
|Section||Interdisciplinary Physics and Related Areas of Science and Technology|
|Published online||02 September 2015|
Spatial structures in a simple model of population dynamics for parasite-host interactions
1 Department of Physics & Astronomy, Bucknell University - Lewisburg, PA 17837, USA
2 Materials Science Division, Argonne National Laboratory - Argonne, IL 60439, USA
3 Department of Mathematical Sciences, University of Wisconsin - Milwaukee, WI 53201, USA
4 Department of Physics & Astronomy, Iowa State University - Ames, IA 50011, USA
5 Department of Physics, Virginia Polytechnic Institute & State University - Blacksburg, VA 24061, USA
6 Max Planck Institute for the Physics of Complex Systems - Nöthnitzer Str. 38, Dresden D-01187, Germany
Received: 14 June 2015
Accepted: 3 August 2015
Spatial patterning can be crucially important for understanding the behavior of interacting populations. Here we investigate a simple model of parasite and host populations in which parasites are random walkers that must come into contact with a host in order to reproduce. We focus on the spatial arrangement of parasites around a single host, and we derive using analytics and numerical simulations the necessary conditions placed on the parasite fecundity and lifetime for the populationÕs long-term survival. We also show that the parasite population can be pushed to extinction by a large drift velocity, but, counterintuitively, a small drift velocity generally increases the parasite population.
PACS: 87.23.Cc – Population dynamics and ecological pattern formation / 05.40.-a – Fluctuation phenomena, random processes, noise, and Brownian motion / 05.45.-a – Nonlinear dynamics and chaos
© EPLA, 2015
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