A Cellular Automata Model for Exploring the Relation Between Sexual Behaviour and Fertility in Ticks-Reference-Cited by-同舟云学术

A Cellular Automata Model for Exploring the Relation Between Sexual Behaviour and Fertility in Ticks

Published:1997-06 Issue:02 Volume:05 Page:203-213
ISSN:0218-3390
Container-title:Journal of Biological Systems
language:en
Short-container-title:J. Biol. Syst.

Author:

Kiszewski A. E.¹,Awerbuch T.²³,Sandberg S.⁴,Spielman A.¹

Affiliation:

1. Dept. of Tropical Public Health, Harvard School of Public Health, 665 Huntington Avenue, Boston, MA 02115, USA

2. Dept. of Population and International Health, Harvard School of Public Health, 665 Huntington Avenue, Boston, MA 02115, USA

3. Division of Biostatistics, Dana-Farber Cancer Institute, 44 Binney Street, Boston, MA 02115, USA

4. Department of Mathematics, Framingham State College, 100 State Street, Framingham, MA 01701, USA

Abstract

A model was developed based on the biological observation that in some species the males remove from females the sperm of previous males, and continue to mate even after their sperm are depleted. We evaluated the potential of this behavior as a hypothetical regulatory mechanism in tick populations, using a cellular automata-based stochastic simulation. We determined the effect of varying population density on tick fertility. The larger trends of this simulation were then validated with a deterministic model based on difference equations. Both approaches demonstrated density-dependent regulation of fertility, suggesting that male mating behavior could play a role in regulating population growth.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology,Applied Mathematics,Agricultural and Biological Sciences (miscellaneous),Ecology

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218339097000151

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