Stochastic Modeling in Biological System

This Reprint includes some research articles covering advances in the theory of stochastic modeling in Biology. In this framework, continuous- and discrete-time stochastic processes, as well as stochastic differential equations, fractional differential equations, correlated processes, first-passage-...

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Publicado em: MDPI - Multidisciplinary Digital Publishing Institute 2024
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collection Directory of Open Access Books
description This Reprint includes some research articles covering advances in the theory of stochastic modeling in Biology. In this framework, continuous- and discrete-time stochastic processes, as well as stochastic differential equations, fractional differential equations, correlated processes, first-passage-time problems, stochastic optimal controls, parameter estimation, and simulation techniques, are treated. The topics include stochastic processes for neuronal activity, jump-diffusion processes, first-passage-time problems, Markov and semi-Markov processes, time-changed processes, Markov chains, fractional processes, and fractional Brownian motion.
format Online
id doab-20.500.12854ir-139324
institution Directory of Open Access Books
language eng
publishDate 2024
publishDateRange 2024
publishDateSort 2024
publisher MDPI - Multidisciplinary Digital Publishing Institute
publisherStr MDPI - Multidisciplinary Digital Publishing Institute
record_format ojs
spelling doab-20.500.12854ir-1393242024-07-04T09:42:19Z Stochastic Modeling in Biological System Abundo, Mario stochastic epidemic model threshold dynamics infection rate extinction ergodic stationary distribution fractional Brownian motion stochastic model regression time series residuals analysis Hurst exponent Campi Flegrei caldera temperature fluctuation Hurwitz-Lerch zeta distribution log-concavity compound poisson distribution one inflated model moment simulated annealing media coverage Lévy jumps nontrival positive T-periodic solution exponential ergodicity persistence in mean Wiener process Ornstein–Uhlenbeck process Feller process asymptotic average of the local time first-passage time and its moments first passage time problem Jacobi process simulation algorithm nonlocal operator Wright–Fisher model fractional integrals first-passage time decaying rate tail distribution stochastic measles epidemic model stationary distribution parameter estimation real data Pakistan measles outbreak Brownian motion Kolmogorov backward equation dynamic programming method of similarity solutions stochastic models Lévy jump persistence measles in Pakistan thema EDItEUR::P Mathematics and Science thema EDItEUR::P Mathematics and Science::PB Mathematics thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics This Reprint includes some research articles covering advances in the theory of stochastic modeling in Biology. In this framework, continuous- and discrete-time stochastic processes, as well as stochastic differential equations, fractional differential equations, correlated processes, first-passage-time problems, stochastic optimal controls, parameter estimation, and simulation techniques, are treated. The topics include stochastic processes for neuronal activity, jump-diffusion processes, first-passage-time problems, Markov and semi-Markov processes, time-changed processes, Markov chains, fractional processes, and fractional Brownian motion. 2024-07-04T09:42:16Z 2024-07-04T09:42:16Z 2024 book ONIX_20240704_9783725812417_120 9783725812417 9783725812424 https://directory.doabooks.org/handle/20.500.12854/139324 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/9321 https://mdpi.com/books/pdfview/book/9321 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-7258-1242-4 10.3390/books978-3-7258-1242-4 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783725812417 9783725812424 192 open access
spellingShingle stochastic epidemic model
threshold dynamics
infection rate
extinction
ergodic stationary distribution
fractional Brownian motion
stochastic model
regression
time series
residuals analysis
Hurst exponent
Campi Flegrei caldera
temperature fluctuation
Hurwitz-Lerch zeta distribution
log-concavity
compound poisson distribution
one inflated model
moment
simulated annealing
media coverage
Lévy jumps
nontrival positive T-periodic solution
exponential ergodicity
persistence in mean
Wiener process
Ornstein–Uhlenbeck process
Feller process
asymptotic average of the local time
first-passage time and its moments
first passage time problem
Jacobi process
simulation algorithm
nonlocal operator
Wright–Fisher model
fractional integrals
first-passage time
decaying rate
tail distribution
stochastic measles epidemic model
stationary distribution
parameter estimation
real data
Pakistan measles outbreak
Brownian motion
Kolmogorov backward equation
dynamic programming
method of similarity solutions
stochastic models
Lévy jump
persistence
measles in Pakistan
thema EDItEUR::P Mathematics and Science
thema EDItEUR::P Mathematics and Science::PB Mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
Stochastic Modeling in Biological System
title Stochastic Modeling in Biological System
title_full Stochastic Modeling in Biological System
title_fullStr Stochastic Modeling in Biological System
title_full_unstemmed Stochastic Modeling in Biological System
title_short Stochastic Modeling in Biological System
title_sort stochastic modeling in biological system
topic stochastic epidemic model
threshold dynamics
infection rate
extinction
ergodic stationary distribution
fractional Brownian motion
stochastic model
regression
time series
residuals analysis
Hurst exponent
Campi Flegrei caldera
temperature fluctuation
Hurwitz-Lerch zeta distribution
log-concavity
compound poisson distribution
one inflated model
moment
simulated annealing
media coverage
Lévy jumps
nontrival positive T-periodic solution
exponential ergodicity
persistence in mean
Wiener process
Ornstein–Uhlenbeck process
Feller process
asymptotic average of the local time
first-passage time and its moments
first passage time problem
Jacobi process
simulation algorithm
nonlocal operator
Wright–Fisher model
fractional integrals
first-passage time
decaying rate
tail distribution
stochastic measles epidemic model
stationary distribution
parameter estimation
real data
Pakistan measles outbreak
Brownian motion
Kolmogorov backward equation
dynamic programming
method of similarity solutions
stochastic models
Lévy jump
persistence
measles in Pakistan
thema EDItEUR::P Mathematics and Science
thema EDItEUR::P Mathematics and Science::PB Mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
topic_facet stochastic epidemic model
threshold dynamics
infection rate
extinction
ergodic stationary distribution
fractional Brownian motion
stochastic model
regression
time series
residuals analysis
Hurst exponent
Campi Flegrei caldera
temperature fluctuation
Hurwitz-Lerch zeta distribution
log-concavity
compound poisson distribution
one inflated model
moment
simulated annealing
media coverage
Lévy jumps
nontrival positive T-periodic solution
exponential ergodicity
persistence in mean
Wiener process
Ornstein–Uhlenbeck process
Feller process
asymptotic average of the local time
first-passage time and its moments
first passage time problem
Jacobi process
simulation algorithm
nonlocal operator
Wright–Fisher model
fractional integrals
first-passage time
decaying rate
tail distribution
stochastic measles epidemic model
stationary distribution
parameter estimation
real data
Pakistan measles outbreak
Brownian motion
Kolmogorov backward equation
dynamic programming
method of similarity solutions
stochastic models
Lévy jump
persistence
measles in Pakistan
thema EDItEUR::P Mathematics and Science
thema EDItEUR::P Mathematics and Science::PB Mathematics
thema EDItEUR::P Mathematics and Science::PB Mathematics::PBT Probability and statistics
url ONIX_20240704_9783725812417_120