Final distribution for Gani epidemic Markov processes

DOI10.1134/S0001434607110223zbMath1151.60038OpenAlexW2015209620MaRDI QIDQ941914

Anton V. Mastikhin

Publication date: 2 September 2008

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434607110223

zbMATH Keywords

Laplace transformgenerating functionMarkov processLaguerre polynomialBessel functiontransition probabilitiesgani epidemic process

Mathematics Subject Classification ID

Epidemiology (92D30) Branching processes (Galton-Watson, birth-and-death, etc.) (60J80)

Related Items (3)

Analysis of a stage-dependent epidemic model based on a non-Markov random process ⋮ On the separating variables method for Markov death-process equations ⋮ On group properties of epidemics equation

Cites Work

• Asymptotics of the Kolmogorov-Feller equation for a system of a large number of particles
• On the Distribution of the Size of an Epidemicin a Non-Markovian Model
• Final Probabilities for a Branching Process with Interaction of Particles and an Epidemic Process
• On a partial differential equation of epidemic theory. I
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