![](/images/graphics-bg.png)
Bifurcation Analysis in Population Genetics Model with Partial Selfing
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-25
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
A new model which allows both the effect of partial selfing selection and an exponential function of the expected payoff is considered.
This combines ideas from genetics and evolutionary game theory.
The aim of this work is to study the effects of partial selfing selection on the discrete dynamics of population evolution.
It is shown that the system undergoes period doubling bifurcation, saddle-node bifurcation, and Neimark-Sacker bifurcation by using center manifold theorem and bifurcation theory.
Numerical simulations are presented not only to illustrate our results with the theoretical analysis, but also to exhibit the complex dynamical behaviors, such as the period-3, 6 orbits, cascade of period-doubling bifurcation in period-2, 4, 8, and the chaotic sets.
These results reveal richer dynamics of the discrete model compared with the model in Tao et al., 1999.
The analysis and results in this paper are interesting in mathematics and biology.
American Psychological Association (APA)
Jiang, Yingying& Wang, Wendi. 2013. Bifurcation Analysis in Population Genetics Model with Partial Selfing. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-451014
Modern Language Association (MLA)
Jiang, Yingying& Wang, Wendi. Bifurcation Analysis in Population Genetics Model with Partial Selfing. Abstract and Applied Analysis No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-451014
American Medical Association (AMA)
Jiang, Yingying& Wang, Wendi. Bifurcation Analysis in Population Genetics Model with Partial Selfing. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-451014
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-451014