Stage-structured model of asingle-species with density-dependent birth pulses
Zhang Shuwen(1),Chen Lansun(2)
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(1) School of Science, Jimei University, Xiamen 361021;(2)Institute of Mathematics, Academy of Mathematics and Systems Science, hinese Academy of Sciencees Beijing 100080
A stage-structured mathematical model of a single-species with density-dependent birth pulses is proposed. We abtain exact periodic solutions of the system with birth pulses and threshold for stablity of peridic solutions by studying the discrete dynamical system determinded by the stroboscopic map.When the parameter of the system exceeds the threshold, there is a characteristic sequence of bifurcations, leading to chaos. This illustrates that birth pulses reslut in the complexity of dynamical behavior of the system, provide a natural period, and allow for a period-doubling route leading to chaos.
Zhang Shuwen
, Chen Lansun. , {{custom_author.name_en}}.
Stage-structured model of asingle-species with density-dependent birth pulses. Journal of Systems Science and Mathematical Sciences, 2006, 26(6): 752-760 https://doi.org/10.12341/jssms08746
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