Frequent asymmetric migrations suppress natural selection in spatially structured populations. [PDF]
Abbara A, Bitbol AF.
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Galton–Watson and branching process representations of the normalized Perron–Frobenius eigenvector
Let A be a primitive matrix and let λ be its Perron–Frobenius eigenvalue. We give formulas expressing the associated normalized Perron–Frobenius eigenvector as a simple functional of a multitype Galton–Watson process whose mean matrix is A, as well as of
Dalmau, Joseba +3 more
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. A functional limit theorem is proved for multitype continuous time Markov branching processes. As consequences, we obtain limit theorems for the branching process stopped by some stopping rule, for example when the total number of particles reaches a ...
Svante Janson
core
Bistability in deterministic and stochastic SLIAR-type models with imperfect and waning vaccine protection. [PDF]
Arino J, Milliken E.
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The impact of household structure on disease-induced herd immunity. [PDF]
Ball F, Critcher L, Neal P, Sirl D.
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Statistical inference of the rates of cell proliferation and phenotypic switching in cancer. [PDF]
Gunnarsson EB, Foo J, Leder K.
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Branching Processes: Optimization, Variational Characterization, and Continuous Approximation
In this thesis, we use multitype Galton-Watson branching processes in random environments as individual-based models for the evolution of structured populations with both demographic stochasticity and environmental stochasticity, and investigate the ...
Wang, Ying
core
Superinfection and the hypnozoite reservoir for Plasmodium vivax: a multitype branching process approximation. [PDF]
Mehra S, Taylor PG.
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Multitype SIR epidemics among a population partitioned into households with proportionate global mixing. [PDF]
Ball F, Critcher L.
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Stochastic model for cell population dynamics quantifies homeostasis in colonic crypts and its disruption in early tumorigenesis. [PDF]
Mamis K, Zhang R, Bozic I.
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