Well-posedness of Hamilton–Jacobi equations in population dynamics and applications to large deviations

Richard C. Kraaij and Louis Mahé

Stochastic Processes and their Applications, 2020, vol. 130, issue 9, 5453-5491

Abstract: We prove Freidlin–Wentzell type large deviation principles for various rescaled models in populations dynamics that have immigration and possibly harvesting: birth–death processes, Galton–Watson trees, epidemic SI models, and prey–predator models.

Keywords: Large deviations; Population dynamics; Hamilton–Jacobi equations; Boundary conditions (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1016/j.spa.2020.03.013

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