[PDF] Top 20 Some problems in stochastic models for epidemics
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Some problems in stochastic models for epidemics
... Kendall (1956) introduced an approximating process by reasoning along similar lines as follows. In order to describe the early development of the process it is assumed that the effect of the depletion of the susceptible ... See full document
142
On automatic derivation of first order conditions in dynamic stochastic optimisation problems
... Toolboxes aimed at solving dynamic stochastic general equilibrium models (e.g. Dynare [1]) require users to derive first order conditions for agents’ optimisation problems manually. This is most ... See full document
10
Spatial and stochastic epidemics : theory, simulation and control
... Optimal control theory arose from a desire to choose an optimal control process in order to minimise a cost functional of the path of a given dynamical sys- tem. For deterministic dynamical systems Pontryagin and his ... See full document
240
Efficient Bayesian inference for partially observed stochastic epidemics and a new class of semi parametric time series models
... corresponding stochastic system at least asymptotically and that for large populations using a stochastic model, which is more difficult to analyse than a deterministic one, there is little to be ...and ... See full document
307
Bayesian inference and model selection for partially observed stochastic epidemics
... Chapter 3 introduces an individual-based SIS model for the spread dynamics of an infectious disease among a population of individuals partitioned into house- holds. The proposed hidden Markov model, that naturally ... See full document
275
Seven challenges for metapopulation models of epidemics, including households models
... mathematical problems are typically a lot more challenging and except in the case of con- stant recovery rates – in which a self-consistent ODE approach can be used (House and Keeling, 2008) – the vast majority of ... See full document
6
Correlations between stochastic epidemics in two interacting populations
... ical models, with spatial-structure (Grenfell and Bolker, 1998; Xia et ...simpler models (Keeling and Rohani, 2008); persistence, generally acting to increase the persistence within stochastic ... See full document
27
The Calibration of Some Stochastic Volatility Models Used in Mathematical Finance
... of stochastic differential Equations. This system of stochastic differential Equa- tions equipped with initial conditions and assumptions on the correlations constitutes the ...The stochastic ... See full document
11
Fuzzy Random Linear Optimization under Possibilistic Downside Risk Measures: Minimization of Possibilistic Low Partial Moment
... programming) problems with discrete fuzzy random ...fuzzy stochastic environments, we have proposed new models based on low partial moment using possibility and necessity measures, which is a ... See full document
6
Three Strategies Tabu Search for Vehicle Routing Problem with Time Windows
... the models developed for the VRP and the VRPTW in the literature considered deterministic parameters such as deterministic travel times, demands and service ...the stochastic VRP can be found in ...VRP: ... See full document
12
Real time growth rate for general stochastic SIR epidemics on unclustered networks
... of epidemics in idealised ...epidemic models and focus our attention on arguably the most important piece of information concern- ing the system’s temporal dynamics: the Malthusian parameter, or real-time ... See full document
51
One-dimensional stochastic diffusion models of neuronal activity and elated first passage time problems
... Matsuyama et al., (1974) applied numerical methods and computer simulations of the Ornstein- Uhlenbeck process with time dependent infinitesimal moments to describe the stimulated activi[r] ... See full document
28
Some Optimization Problems for Stochastic Systems with Memory.
... Markovian stochastic process such as geometric Brownian process is used to describe the price of the risky ...on models with such ...In some other extensions of the model, stochastic ... See full document
131
Solutions to some portfolio optimization problems with stochastic income and consumption
... the stochastic control ...to some unconstrained portfolio optimization problem with power and log utility functions which lead to four propositions as the main ...two models discussed shows that, ... See full document
21
Asymmetric problems and stochastic process models of traffic assignment
... proposed some fairly restrictive assumptions for existence of equilibria in this case, although the question of uniqueness has yet to be ...choice models including, for example, multi-modal assignment and ... See full document
26
Security Analysis on Network Systems Based on Some Stochastic Models
... losing some connections implies the failure of this node, it is very important to study its resilience and ...if some of its neighbor nodes are disconnected, this enable the new model to include both ... See full document
94
Stochastic models of kleptoparasitism
... deterministic models approximate the stochastic model well in most situations, but that the normal approximations are better, proving to be good approximations to the exact distribution, which can greatly ... See full document
25
A direct probabilistic global search method for the solution of constrained optimal control problems
... As the explicit use of analytical results is often prohibitive due to complexity and scale of applied problems, many numerical techniques have been proposed. These methods in attempt to find solution use ... See full document
44
Stochastic differential equation for two-phase growth model
... and stochastic models, the birth and death processes in single-phase are ...logistic models [1-3]. In logistic models, many distinct biological interpretations for different applications can ... See full document
31
A comparison of theoretical and empirical results for some stochastic population models
... In recent papers Bartlett (1957), Leslie (1958) and Leslie & Gower (1958) have illustrated by means of artificial series the properties of various idealized models of biological sys[r] ... See full document
12
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