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Steady states of lattice population models with immigration.

Chernousova, E. and Feng , Y. and Hryniv, O. and Molchanov, S. and Whitmeyer, J. (2021) 'Steady states of lattice population models with immigration.', Mathematical population studies., 28 (2). pp. 63-80.

Abstract

In a lattice population model where individuals evolve as subcritical branching random walks subject to external immigration, the cumulants are estimated and the existence of the steady state is proved. The resulting dynamics are Lyapunov stable in that their qualitative behavior does not change under suitable perturbations of the main parameters of the model. An explicit formula of the limit distribution is derived in the solvable case of no birth. Monte Carlo simulation shows the limit distribution in the solvable case.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1080/08898480.2020.1767411
Publisher statement:This is an Accepted Manuscript of an article published by Taylor & Francis in Mathematical population studies on 12 June 2020 available online: http://www.tandfonline.com/10.1080/08898480.2020.1767411
Date accepted:No date available
Date deposited:14 July 2020
Date of first online publication:12 June 2020
Date first made open access:12 December 2021

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