Dynamics of populations with two sexes
Dynamics of populations with two sexes
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.
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.
-
1象海豹的故事[J].走近科学,2010(7):48-52.
-
2康佳.不可思议的象海豹的旅行[J].世界发明,1996(4):12-12.
-
3蒲训.试论有性生殖在生活史中的确切阶段[J].甘肃科学学报,2000,12(2):73-77. 被引量:1
-
4薛树培.试论小学数学思维力的培养[J].教育(教学科研)(下旬),2014,0(10):53-53.
-
5林心雅.象鼻海豹[J].华夏人文地理,2005(11):108-121.
-
6周海.浅谈生物课的复习[J].生命世界,2009(12):103-105.
-
7糖糖.海洋中的英雄象海豹[J].小雪花,2009(3):12-12.
-
8董金海,沈峰.南极乔治王岛象海豹数量的初步估计[J].海洋科学,1991,15(5):29-33. 被引量:1
-
9刘树华,黄子琛,刘立超,冯金朝.植被对近地面层水热交换影响的参数化模型[J].应用生态学报,1995,6(2):149-154. 被引量:13
-
10沈洪.象海豹趣话[J].海洋世界,2002(5):16-17.