The Evolution of Age-Structured Marriage Functions: It Takes Two to Tango

作者: Carlos Castillo-Chavez , Shu-Fang Hsu Schmitz

DOI: 10.1007/978-1-4615-5973-3_18

关键词: Population levelDemographyPair formationMatingMultiplicative functionAssortative matingSocial psychologyMating systemAge structuredSocial dynamicsSociology

摘要: Two-sex marriages in socially structured populations can be characterized as multiplicative perturbations of heterosexually random, or proportionate, mixing (Castillo-Chavez & Busenberg 1991). Such are expressed terms preferences, affinities, males for females, and vice versa. Male female preferences obviously not independent, since they depend on the availability male behavioral classes. Knowledge one gender characterize both genders populations; other words, “it takes two to tango.” This is basic content T3 Theorem. Different sets that is, distinct classes, may give rise identical mating probabilities, determinants “ phenotypes” (Hsu Schmitz 1994; Hsu et al. 1993). Hence, different individual decisions lead social dynamics, a fact well established genetics. The importance incorporation systems at population level neglected but central area evolutionary biology.

参考文章(40)
Stavros Busenberg, Ken Gerow, Carlos Castillo-Chavez, Pair Formation in Structured Populations ,(1991)
Carlos Castillo-Chavez, Shwu-Fang Shyu, Gail Rubin, David Umbach, On the Estimation Problem of Mixing/Pair Formation Matrices with Applications to Models for Sexually-Transmitted Diseases Birkhäuser Boston. pp. 384- 402 ,(1992) , 10.1007/978-1-4757-1229-2_18
B. PARLETT, Can There Be a Marriage Function Population Dynamics#R##N#Proceedings of a Symposium Conducted by the Mathematics Research Center, the University of Wisconsin–Madison June 19–21, 1972. pp. 107- 135 ,(1972) , 10.1016/B978-1-4832-2868-6.50009-6
Stavros Busenberg, Carlos Castillo-Chavez, Interaction, pair formation and force of infection terms in sexually transmitted diseases Mathematical and statistical approaches to AIDS epidemiology. pp. 289- 300 ,(1990) , 10.1007/978-3-642-93454-4_14
Tomas Philipson, Edward H. Kaplan, Margaret L. Brandeau, Modeling the AIDS epidemic: planning, policy and prediction. Journal of Policy Analysis and Management. ,vol. 14, pp. 493- 495 ,(1995) , 10.2307/3325040
C. Castillo-Chavez, S. Busenberg, On the Solution of the Two-Sex Mixing Problem Differential Equations Models in Biology, Epidemiology and Ecology. pp. 80- 98 ,(1991) , 10.1007/978-3-642-45692-3_7
Carlos Castillo-Chavez, Shu-Fang Hsu Schmitz, Completion of mixing matrices for non-closed social networks WCNA '92 Proceedings of the first world congress on World congress of nonlinear analysts '92, volume IV. pp. 3163- 3173 ,(1995)
C. Castillo-Chavez, S. Lubkin, A pair formation approach to modeling inheritance of social traits WCNA '92 Proceedings of the first world congress on World congress of nonlinear analysts '92, volume IV. pp. 3227- 3234 ,(1995)
Carlos Castillo-Chavez, Samuel Fridman, Xiaolong Luo, Stochastic and deterministic models in epidemiology WCNA '92 Proceedings of the first world congress on World congress of nonlinear analysts '92, volume IV. pp. 3211- 3225 ,(1995)