A basic result on the integral for birth-death Markov processes

DOI10.1016/S0025-5564(99)00034-6zbMath0938.60056OpenAlexW2138635628WikidataQ52138754 ScholiaQ52138754MaRDI QIDQ1808682

Carlos Castillo-Chavez, Carlos M. Hernandez-Suarez

Publication date: 25 November 1999

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

Full work available at URL: https://doi.org/10.1016/s0025-5564(99)00034-6

zbMATH Keywords

queueing theorybirth-death processesintegrals of Markov processesabsorbing Markov processes

Mathematics Subject Classification ID

Discrete-time Markov processes on general state spaces (60J05)

Related Items (10)

Integrals for continuous-time Markov chains. ⋮ Precise estimates of persistence time for SIS infections in heterogeneous populations ⋮ Asymptotic persistence time formulae for multitype birth–death processes ⋮ A simple approach to the integrals under three stochastic processes ⋮ On the integral of fractional Poisson processes ⋮ Statistics of dwell times in a reaction with randomly fluctuating rates ⋮ On expected durations of birth–death processes, with applications to branching processes and SIS epidemics ⋮ The stationary probability density of a class of bounded Markov processes ⋮ A note on integrals for birth-death processes ⋮ Optimal vaccination policies for stochastic epidemics among a population of households

Cites Work

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• Limit theorems for the integral of a population process with immigration
• On Occupation Times for Markoff Processes
• On a Sojourn Time Problem in the Theory of Stochastic Processes
• On the distribution of the time to extinction in the stochastic logistic population model
• Quasi-stationary distributions of birth-and-death processes
• On the Extinction of theS–I–Sstochastic logistic epidemic
• The quasi-stationary distribution of the closed endemic sis model
• Limit Theorems for Markov Renewal Processes
• On the homogeneous birth-and-death process and its integral
• On quasi-stationary distributions in absorbing continuous-time finite Markov chains
• Highway Delays Resulting From Flow-Stopping Incidents
• Integral Functionals of Birth and Death Processes and Related Limiting Distributions
• A note on the cost of the simple epidemic
• The cost of a general stochastic epidemic
• The area under the infectives trajectory of the general stochastic epidemic
• Occupation Times for Markov and Semi-Markov Chains

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