Extinction,periodicity and multistability in a Ricker model of stage-structured populations |
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| Authors: | N Lazaryan |
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| Institution: | Department of Mathematics, Virginia Commonwealth University, Richmond, Virginia, 23284-2014USA. |
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| Abstract: | We study the dynamics of a second-order difference equation that is derived from a planar Ricker model of two-stage (adult-juvenile) biological populations. We obtain sufficient conditions for global convergence to zero in the non-autonomous case yielding general conditions for extinction in the biological context. We also study the dynamics of an autonomous special case of the equation that generates multistable periodic and non-periodic orbits in the positive quadrant of the plane. |
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| Keywords: | Ricker model stage-structured extinction multistable periodic parameters periodic solutions non-periodic solutions |
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