Simulation of a Horizontal and Vertical Disease Spread in Population

Magdon-Maksymowicz, Maria Stanislawa

doi:10.1007/978-3-540-25944-2_97

Cited by 3 publications

(2 citation statements)

References 9 publications

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“…where S (Ω) is a lattice consistent of too few cells to repeat the procedure defined in equation (6). Here, four cells were combined to a new one via…”

Section: Cluster Analysismentioning

confidence: 99%

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Phase Transition in a Stochastic Forest Fire Model and Effects of the Definition of Neighborhood

Lichtenegger

Schappacher

2009

Int. J. Mod. Phys. C

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We present results on a stochastic forest fire model, where the influence of the neighbor trees is treated in a more realistic way than usual and the definition of neighborhood can be tuned by an additional parameter.This model exhibits a surprisingly sharp phase transition which can be shifted by redefinition of neighborhood. The results can also be interpreted in terms of diseasespreading and are quite unsettling from the epidemiologist's point of view, since variation of one crucial parameter only by a few percent can result in the change from endemic to epidemic behavior.

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“…where S (Ω) is a lattice consistent of too few cells to repeat the procedure defined in equation (6). Here, four cells were combined to a new one via…”

Section: Cluster Analysismentioning

confidence: 99%

“…Often CA models are not applied to special (realistic) cases, but general properties are studied, as for example in [6] or [7]. One of the most interesting (and most dramatic) features of CA models is the possibility of "phase transition" (see for example [8,9]).…”

Section: Introductionmentioning

confidence: 99%

Phase Transition in a Stochastic Forest Fire Model and Effects of the Definition of Neighborhood

Lichtenegger

Schappacher

2009

Int. J. Mod. Phys. C

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Modeling Insect Outbreaks in Forest Canopies: Integration of Virtual Simulations with Hands-On Ecology for Undergraduates

Kaganovskiy

Lowman

2013

Treetops at Risk

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Simulation of Mad Cow Disease Propagation

Magdon-Maksymowicz

Maksymowicz

Gołdasz³

2006

Int. J. Mod. Phys. C

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Computer simulation of dynamic of BSE disease is presented. Both vertical (to baby) and horizontal (to neighbor) mechanisms of the disease spread are considered. The game takes place on a two-dimensional square lattice Nx×Ny = 1000×1000 with initial population randomly distributed on the net. The disease may be introduced either with the initial population or by a spontaneous development of BSE in an item, at a small frequency. Main results show a critical probability of the BSE transmission above which the disease is present in the population. This value is vulnerable to possible spatial clustering of the population and it also depends on the mechanism responsible for the disease onset, evolution and propagation. A threshold birth rate below which the population is extinct is seen. Above this threshold the population is disease free at equilibrium until another birth rate value is reached when the disease is present in population. For typical model parameters used for the simulation, which may correspond to the mad cow disease, we are close to the BSE-free case.

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Simulation of a Horizontal and Vertical Disease Spread in Population

Cited by 3 publications

References 9 publications

Phase Transition in a Stochastic Forest Fire Model and Effects of the Definition of Neighborhood

Phase Transition in a Stochastic Forest Fire Model and Effects of the Definition of Neighborhood

Modeling Insect Outbreaks in Forest Canopies: Integration of Virtual Simulations with Hands-On Ecology for Undergraduates

Simulation of Mad Cow Disease Propagation

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