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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-838
Full Name: Changguo Li
Position: Professor
Age: ON
Sex: Male
Address: Department of Basic Science of Millitery Transportation University,Tianjin,300161, P.R. China
Country: CHINA
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E-mail address: li_changguo@yahoo.cn
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Title of the Paper: Dynamics of Stage-structured Population Models with Harvesting pulses
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Number of paper pages: 10
Abstract: In most models of population dynamics, changes in population due tobirth or harvesting are assumed to be time-independent, but manyspecies reproduce or be caught only during a single period of the year. A single species stage-structured model with density-dependent maturation rate and birth pulse and harvesting pulse is formulated. Using the discrete dynamical system determined by its Poincare'map, we report a detailed study of the various dynamics, including (a) existence and stability of nonnegative equilibria, (b) period doubling and period halfing, (c) intermittency and crisis, (d)nonunique dynamics, meaning that several attractors coexist, (e)chaotic attractors. The occurrence of these complex dynamic behaviours is related to the fact that minor changes in parameter or initial values can strikingly change the dynamic behaviours of the system. Further, it is shown that periodic birth pulse or periodic harvesting pulse, in effect, provides a natural period or c!
yclicity that allows multiple oscillatory solutions in the continuous dynamical systems. Finally, we compare the dynamic behaviour of system when u is used by bifurcation parameter with that of b
Keywords: Stage structure, Density-dependent, Harvesting pulse, Birth pulse, Complexities
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