Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection.

@article{citeulike:899707, abstract = {In this work, we consider a delay differential equations model for bacteriophage infection and discuss the robustness of the positive equilibrium with respect to stochastic perturbations of the environment using two different approaches. First, we provide analytical estimates of the population intensities of fluctuations by Fourier transform methods. Next, we simulate the strong solutions of the arising stochastic delay differential equations by numerical methods of order 1. Extensive numerical experiments suggest that a noisy environment for the bacteria population is much more destabilizing on the concentrations at the equilibrium point than a noisy environment for the phage.}, address = {Institute of Biomathematics, University of Urbino, Italy.}, author = {Carletti, Margherita }, citeulike-article-id = {899707}, issn = {1477-8599}, journal = {Math Med Biol}, keywords = {epidemiology, phage}, month = {June}, posted-at = {2006-10-16 19:39:59}, priority = {2}, title = {Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection.}, url = {http://view.ncbi.nlm.nih.gov/pubmed/16801387}, year = {2006} }

TY - JOUR ID - citeulike:899707 L3 - citeulike-article-id:899707 TI - Numerical simulation of a Campbell-like stochastic delay model for bacteriophage infection. JF - Math Med Biol AD - Institute of Biomathematics, University of Urbino, Italy. SN - 1477-8599 N2 - In this work, we consider a delay differential equations model for bacteriophage infection and discuss the robustness of the positive equilibrium with respect to stochastic perturbations of the environment using two different approaches. First, we provide analytical estimates of the population intensities of fluctuations by Fourier transform methods. Next, we simulate the strong solutions of the arising stochastic delay differential equations by numerical methods of order 1. Extensive numerical experiments suggest that a noisy environment for the bacteria population is much more destabilizing on the concentrations at the equilibrium point than a noisy environment for the phage. KW - epidemiology KW - phage AU - Carletti, Margherita PY - 2006/06/26/ UR - http://view.ncbi.nlm.nih.gov/pubmed/16801387 ER -