Two-Sex Branching Processes with Several Mating and Reproduction Strategies: Extinction Versus Survival

Chapter
First Online:
Part of the Lecture Notes in Statistics book series (LNS, volume 219)

Abstract

This work deals with stochastic modeling in biological populations. We develop a two-sex branching process as an appropriate mathematical model to describe the demographic dynamics of biological populations with sexual reproduction. We assume several mating and reproduction strategies. Moreover, unlike other classes of two-sex branching processes where mating and reproduction are influenced by the number of couples in the population, we now consider the most realistic case where both (mating and reproduction) are affected by the numbers of females and males in the population. We study the extinction/survival of populations modeled by such two-sex branching process.

Mathematics Subject Classification (2000):

60J80 
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Notes

Acknowledgements

This research has been supported by the Ministerio de Economía y Competitividad of Spain (grants MTM2012-31235 and MTM2015-70522-P), the Junta de Extremadura (grant GR15105), the FEDER, and the National Fund for Scientific Research at the Ministry of Education and Science of Bulgaria (grant DFNI-I02/17).

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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Faculty of Sciences, Department of MathematicsUniversity of ExtremaduraBadajozSpain
  2. 2.Facultad de Veterinaria, Department of MathematicsUniversity of ExtremaduraCáceresSpain

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