Two-dimensional stochastic exponential growth models |
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| Authors: | Paul J. Polansky |
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| Affiliation: | (1) Department of Mathematics, Northwestern University, 60201 Evanston, Illinois, USA |
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| Abstract: | Summary We consider a two niche model of two populations interacting through migration and undergoing exponential growth. Random effects enter through demographic stochasticity or randomization of the growth rates. Conditions for the moments to converge to zero or infinity are found. In addition, the asymptotic behavior of the paths of the diffusion process is characterized. |
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