Density-dependent birth rate, birth pulses and their population dynamic consequences
Tang, SY; Chen, LS
AbstractIn most models of population dynamics, increases in population due to birth are assumed to be time-independent, but many species reproduce only during a single period of the year. We propose a single-species model with stage structure for the dynamics in a wild animal population for which births occur in a single pulse once per time period. Using the discrete dynamical system determined by the stroboscopic map, we obtain an exact periodic solution of systems which are with Ricker functions or Beverton-Holt functions, and obtain the threshold conditions for their stability. Above this threshold, there is a characteristic sequence of bifurcations, leading to chaotic dynamics, which implies that the dynamical behaviors of the single species model with birth pulses are very complex, including small-amplitude annual oscillations, large-amplitude multi-annual cycles, and chaos. This suggests that birth pulse, in effect, provides a natural period or cyclicity that allows for a period-doubling route to chaos.
Keyworddensity-dependent birth pulse Ricker function Beverton-Holt function
WOS Research AreaLife Sciences & Biomedicine - Other Topics ; Mathematical & Computational Biology
WOS SubjectBiology ; Mathematical & Computational Biology
WOS IDWOS:000174675700005
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Document Type期刊论文
Corresponding AuthorTang, SY
AffiliationAcad Sinica, Inst Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Tang, SY,Chen, LS. Density-dependent birth rate, birth pulses and their population dynamic consequences[J]. JOURNAL OF MATHEMATICAL BIOLOGY,2002,44(2):185-199.
APA Tang, SY,&Chen, LS.(2002).Density-dependent birth rate, birth pulses and their population dynamic consequences.JOURNAL OF MATHEMATICAL BIOLOGY,44(2),185-199.
MLA Tang, SY,et al."Density-dependent birth rate, birth pulses and their population dynamic consequences".JOURNAL OF MATHEMATICAL BIOLOGY 44.2(2002):185-199.
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