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| Keywords | |
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Bisexual Galton-Watson branching processes |
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population-size-dependent branching processes |
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almost sure convergence. |
| Authors | |
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MA Shixia |
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WANG Yongjing |
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On the Limit Behaviour of the Population-Size-Dependent Bisexual Branching Processes
MA Shixia�� WANG Yongjing
Department of Applied Mathematics, Hebei University of Technology, Department of Applied Mathematics, Hebei University of Technology
In this paper, a bisexual Galton-Watson branching process with the law of offspring distribution dependent on the population size is investigated. Under a suitable assumption on the offspring distribution, for the supercritical case, the limit behaviours on almost sure convergence of the process are established.