期刊文献+

Dynamics of populations with two sexes

Dynamics of populations with two sexes
原文传递
导出
摘要 A mathematical model is presented in order to describe the dynamics of polygamous populations, bearing in mind single individuals of both sexes and the development of reproductive groups. In this context, the description leads us to consider positive homogeneous dynamical systems, establishing conditions for the stationary state existence and its local stability. A fourth pre-reproductive stage was considered, i.e. males and females spend part of their lives before being in condition to reproduce, as a first step to consider more general models. Finally, we parametrized the proposed model using southern elephant seal data, to analyze the direct applicability to a real population.
出处 《International Journal of Biomathematics》 2015年第4期127-144,共18页 生物数学学报(英文版)
关键词 Dynamical systems two-sex model mating system local stability. 种群动态 数学模型 生殖阶段 局部稳定性 参数化模型 群体发展 动力系统 象海豹
  • 相关文献

参考文献19

  • 1C. Campagna, M. N. Lewis and R. Baldi, Breeding biology of southern elephant seals in Patagonia, Mar. Mammal Sci. 9 (1993) 34-47.
  • 2C. Castillo-Chavez (ed.), Mathematical and Statistical Approaches to AIDS Epidemiology, Lecture Notes in Biomathematics, Vol. 83 (Springer-Verlag, 1989).
  • 3H. Caswell, Matrix Population Models, 2nd edn. (Sinauer Associates, 2001).
  • 4M. de la Sen, The generalized Beverton-Holt equation and the control of populations, Appl. Math. Model. 32 (2008) 2312-2328.
  • 5L. Farina and S. Rinaldi, Positive Linear Systems — Theory and Applications (John Wiley and Sons, 2000).
  • 6M. Farkas, Dynamical Models in Biology (Academic Press, 2001).
  • 7M. A. Ferrari, M. N. Lewis and C. Campagna, Two-sex population models applied to polygamous species, Acta Acad. Nac. Cienc. XIV (2008) 75-83.
  • 8M. A. Ferrari, M. N. Lewis, M. A. Pascual and C. Campagna, Interdependence of social structure and demography in the southern elephant seal colony of Peninsula Valdes, Argentina, Mar. Mammal Sci. 25 (2009) 681-692.
  • 9L. R. Gerber, Including behavioral data in demographic models improves estimates of population viability, Front. Ecol. Environ. 4 (2006) 419-427.
  • 10K. P. Hadeler, R. Waldstatter and A. Worz-Busekros, Models for pair formation in bisexual populations, J. Math. Biol. 26 (1988) 635-649.

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部