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Steady states of lattice population models with immigration
Chernousova E., Feng Y., Hryniv O., Molchanov S., Whitmeyer J.
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.
Keywords: immigrationBranching random walksteady state correlation functions Lyapunov stabilityspatial population dynamics
Publication based on the results of:
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Edward Elgar Publishing, 2025.
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