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Stochastic Modeling in Biological System
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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.
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Keywords
- asymptotic average of the local time
- Brownian motion
- Campi Flegrei caldera
- compound poisson distribution
- decaying rate
- Dynamic programming
- ergodic stationary distribution
- exponential ergodicity
- extinction
- Feller process
- first passage time problem
- first-passage time
- first-passage time and its moments
- fractional Brownian motion
- fractional integrals
- Hurst exponent
- Hurwitz-Lerch zeta distribution
- infection rate
- Jacobi process
- Kolmogorov backward equation
- Lévy jump
- Lévy jumps
- log-concavity
- measles in Pakistan
- Media Coverage
- method of similarity solutions
- moment
- nonlocal operator
- nontrival positive T-periodic solution
- one inflated model
- Ornstein–Uhlenbeck process
- Pakistan measles outbreak
- Parameter estimation
- Persistence
- persistence in mean
- real data
- régression
- residuals analysis
- simulated annealing
- simulation algorithm
- stationary distribution
- stochastic epidemic model
- stochastic measles epidemic model
- stochastic model
- stochastic models
- tail distribution
- temperature fluctuation
- 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
- threshold dynamics
- time series
- Wiener process
- Wright–Fisher model
Links
DOI: 10.3390/books978-3-7258-1242-4Editions