Title :
Dynamics of coexistence of asexual and sexual reproduction in adaptive landscape
Author :
Jiao, Shuyun ; Wang, Yanbo ; Ao, Ping
Author_Institution :
Key Lab. of Syst. Biomed. of Minist. of Educ., Shanghai Jiao Tong Univ., Shanghai, China
Abstract :
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.
Keywords :
diffusion; evolution (biological); Wright-Fisher process map; adaptive landscape; asexual reproduction; coexistence dynamics; extinction time; general diffusion equation; inhomogenous reproductive organism; organism evolution; stationary distribution; systems biology; Adaptation models; Biological system modeling; Evolution (biology); Genetics; Mathematical model; Sociology; Statistics; Adaptive Landscape; Fixed Points; Stationary Distribution; Wright-Fisher Process;
Conference_Titel :
Systems Biology (ISB), 2012 IEEE 6th International Conference on
Conference_Location :
Xi´an
Print_ISBN :
978-1-4673-4396-1
Electronic_ISBN :
978-1-4673-4397-8
DOI :
10.1109/ISB.2012.6314135