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Zoological Research
Kunming Institute of Zoology, Chinese Academy of Sciences
ISSN: 2095-8137
Vol. 30, No. 1, 2009, pp. 11-16
Bioline Code: zr09003
Full paper language: Chinese
Document type: Research Article
Document available free of charge

Zoological Research, Vol. 30, No. 1, 2009, pp. 11-16

 en Application of Differential Equation to the Evolution of Two Groups
Xu, Hui-jun; Li, Jun-rui & Li, Hai-peng


In order to explain the process of biological evolution based on some conditions, the differential equation deduced from directional selection describes the evolutionary process of two populations (species) which share the same resource without amalgamation. Although it is generally held that the larger population obtains better chances of survival, such view is not complete. By using differential equations and computer simulations, we found that, when a population gains beneficial mutation, the other population will go extinct regardless of its initial conditions. The larger population is superior since it is more likely to obtain advantageous mutation if the rate of advantageous mutation remains constant between the two populations. On the other hand, if both populations have favorable mutation, the chance of the survival for the smaller population will be apparently better.

Directional selection; Differential equation; Fitness landscape

© Copyright 2009 Kunming Institute of Zoology, the Chinese Academy of Sciences
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