[PDF] Top 20 The extinction and persistence of a stochastic SIR model
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The extinction and persistence of a stochastic SIR model
... The objective of this paper is to explore the long time behavior of a stochastic SIR model. We establish a threshold condition called the basic reproduction number under stochastic ... See full document
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Extinction and persistence of a stochastic SIS epidemic model with vertical transmission, specific functional response and Levy jumps
... a stochastic SIS epidemic model with vertical transmission and specific functional ...investigate extinction and persistence in mean of the ... See full document
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On the brink between extinction and persistence
... HM can be considered a proxy for N E , especially for pop- ulations with discrete generations, whereas when there are overlapping generations, the time scale becomes crucial and must be defined such that it relates to ... See full document
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Persistence in mean and extinction on stochastic competitive Gilpin Ayala systems with regime switching
... in stochastic Gilpin-Ayala systems because of the nonlinear ...the stochastic competitive Gilpin-Ayala system with regime switching and its asymptotic behavior have not been studied ...the model ... See full document
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Persistence and Extinction of a Stochastic Epidemic Model with Delay and Proportional Vaccination
... to model (2) in Section ...the extinction of the disease will be discussed in Section ...the persistence in the mean of the susceptible and the infected to model (2) is ... See full document
7
The persistence and extinction of a stochastic SIS epidemic model with Logistic growth
... that stochastic model (9) admits a unique positive solution will be studied in the next ...the persistence for the infected individuals would be ...the extinction for the infected ... See full document
10
Extinction and persistence of a stochastic SIRS epidemic model with saturated incidence rate and transfer from infectious to susceptible
... In this paper, stochastic effect on the spread of the infectious disease with saturated incidence rate and the special transfer from infectious is discussed. The threshold dynamics is explored for the case of ... See full document
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Rare vascular flora of the longleaf pine-wiregrass ecosystem: temporal responses to fire frequency and population size.
... frequency, persistence, and local extinction as functions of density and area and to examine relative turnover rates of rare flora by testing the following hypotheses: (1) frequent fire increases ... See full document
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Modelling the effect of telegraph noise in the SIRS epidemic model using Markovian switching
... Lotka–Volterra model with telegraph ...Lotka–Volterra model under regime ...complicated model, the SIRS model, by using the concept of MS to include telegraph noise to give the MS SIRS ... See full document
21
Existence and persistence of positive solution for a stochastic turbidostat model
... a stochastic model and ob- tained many important ...single-substrate model that the dilution rate in the vessel is constant and derived the corresponding con- ...corresponding stochastic ... See full document
17
A stochastic SIR epidemic model with density dependent birth rate
... Stochastic SIR models have been investigated in recent ...a stochastic SIR model with or without distributed time delay, they gave a sufficient condition for the asymptotic stability of ... See full document
12
Persistence and stability of the disease free equilibrium in a stochastic epidemic model with imperfect vaccine
... on model () to (I): ob- taining explicit conditions that can ensure the disease to be persistent; (II): further devel- oping the conditions for the infectious class to be ...the extinction and per- ... See full document
14
A stochastic model for the probability of malaria extinction by mass drug administration
... using SIR (Susceptible-Infected-Recovered) models for pathogens that induce sterile ...In SIR models there is a critical community size below which the infection cannot persist [10], because the population ... See full document
9
Stationary distribution and extinction of a stochastic SIRS epidemic model with information intervention
... epidemic model which considers the influence of information intervention and environmental noise is ...the stochastic basic production R s is a threshold which determines the extinction ... See full document
19
The Connection Between the Climate Change Model and a Building’s Thermal Response Model: A Case of Slovenia
... [15]), stochastic weather generators ([20] and [21]) and a historical approach ...the stochastic weather generator are the strange relations between the meteorological variables, which do not match reality, ... See full document
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Statistical mechanics of ecological systems: Neutral theory and beyond
... other model input is the spatial pair correlation function (PCF), which describes the corre- lation in species’ abundances between pairs of samples as a function of the distance between them (Azaele et ... See full document
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A Model of a Tunnel and a Simulation of Ventilation in the Case of Fire
... a model of a tunnel and the results of a fire simulation in the ...The model takes into account air velocity, air temperature and wall temperature during the ... See full document
11
A mathematical model for the product mixing and lot-sizing problem by considering stochastic demand Pages 237-250 Download PDF
... a Stochastic Mixed Integer Linear Programming Model (SILP) for the product mixing and lot-sizing ...the stochastic model are defined in two steps by considering variability of the ...SILP ... See full document
14
Partial permanence and extinction on stochastic Lotka Volterra competitive systems
... Lotka-Volterra model concerning ecological population modeling has received great at- tention and has been studied extensively owing to its theoretical and practical ... See full document
17
Sufficient and necessary conditions of stochastic permanence and extinction for stochastic logistic populations under regime switching
... more environmental regimes, which differ in terms of factors such as nutrition or rainfall [15], [16]. The switching is memoryless and the waiting time for the next switch has an exponential distribution. We can hence ... See full document
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