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Nonlinear branching processes with immigration |
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| Authors: | Pei-Sen Li |
| Institution: | School of Mathematical Sciences, Beijing Normal University, Beijing 100875, P. R. China |
| Abstract: | The nonlinear branching process with immigration is constructed as the pathwise unique solution of a stochastic integral equation driven by Poisson random measures. Some criteria for the regularity, recurrence, ergodicity and strong ergodicity of the process are then established. |
| Keywords: | Nonlinear branching process immigration stochastic integral equation regularity recurrence ergodicity strong ergodicity |
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