@Article{IJNAM-1-2,
author = {J., Edward, Allen},
title = { Jump-Diffusion Model for the Global Spread of an Amphibian Disease},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2004},
volume = {1},
number = {2},
pages = {173--188},
abstract = {<p style="text-align: justify;">A system of jump-diffusion stochastic differential equations is 
considered for modelling the dynamics of the spread of an amphibian disease. In
this investigation, it is assumed that the amphibians are located in $M$ regions
which are widely and uniformly spaced on the surface of the earth and that the
disease is present initially in only one region. Within each region, the 
amphibians live in $N$ separate patches. A jump-diffusion stochastic system is derived
for the number of infected patches in each of the $M$ regions. Computational
simulations are performed and compared with results predicted by a 
deterministic SIS model, a continuous-trajectory stochastic differential equation model,
and Monte Carlo calculations. It is seen that the rate of spread predicted by
the jump-diffusion model agrees well with that predicted by Monte Carlo 
calculations. Indeed, if there is a step increase in the transmission rates or a step
decrease in the recovery rates, then the disease can spread globally from region
to region at an exponential rate.</p>},
issn = {2617-8710},
doi = {https://doi.org/2004-IJNAM-973},
url = {https://global-sci.com/article/83900/jump-diffusion-model-for-the-global-spread-of-an-amphibian-disease}
}