Dynamics of Coexistence of Asexual and Sexual Reproduction in Adaptive Landscape
Background: The dynamics for species,especially rare species,with mixed type reproduction is instructive and meaningful for predicting the extinction of them.Though the extinction time is still a difficult problem for sexual or asexual populations.Adaptive landscape introduced by Wright,a powerful concept in systems biology can describe the evolution of organisms.To our knowledge,the dynamical of inhomogenous reproductive organisms have not investigated by a simple model globally.Methods: We describe how a Wright-Fisher process maps to the dynamics of a population with mixed type.We analytically construct adaptive landscape from the general diffusion equation.It shows that the construction is dynamical and the adaptive landscape is independent of the existence and normalization of the stationary distribution.Results:We first give a global model describing the evolution of an inhomogenous reproductive population by adaptive landscape.We visualize the dynamical behavior by adaptive landscape.Finite and infinite potential occur in the process.These results suggest a possible way to investigate the complex reproductive process in an inhomogeneous reproductive population.
Wright-Fisher Process Adaptive Landscape Stationary Distribution Fixed Points
Shuyun Jiao Yanbo Wang Ping Ao
Shanghai Center for Systems Biomedicine, Key Laboratory of Systems Biomedicine of Ministry of Educat Department of Computer Science and Engineering, Shanghai Jiao Tong University, 200240, Shanghai, P.R Shanghai Center for Systems Biomedicine, Key Laboratory of Systems Biomedicine of Ministry of Educat
国际会议
6th International Conference on Systems Biology (第六届国际系统生物学会议)(ISB2012)
西安
英文
192-196
2012-08-19（万方平台首次上网日期，不代表论文的发表时间）