#Multipatch rom how to#
#Multipatch rom Patch#

In the limit of fast diffusion pathogens, the method of matched asymptotic analysis is used to reduce the coupled PDE–ODE model to a nonlinear system of ODEs for the average density of pathogens in the air. The movement of pathogens in the air is modeled with linear diffusion and coupled to the SIR dynamics of each human population through an integral of the density of pathogens around the population patches. Human populations are modeled with patches, and a Lagrangian perspective is used to keep track of individuals’ places of residence. We extended a class of coupled PDE–ODE models for studying the spatial spread of airborne diseases by incorporating human mobility. This study provides some quantitative information that may help to develop vaccine distribution strategies in multiple regions with disassortative mixing. We also show that a time-variable vaccination strategy between the two patches can further reduce the disease prevalence.

#Multipatch rom Patch#

Using parameters calibrated from the data of a case study, we find that if the two patches have the same or similar sex ratios, allocating vaccines proportionally according to the new recruits in two patches and giving priority to the gender with a smaller recruit rate within each patch will bring the maximum benefit in reducing the total prevalence. When the vaccine uptake is not proportional to the population size, sexual mixing between the two patches can reduce and mitigate the consequence of disproportionate vaccine coverage. Both analytical and numerical results reveal that disassortative geographical mixing does not affect and only has a minor impact on the disease prevalence in the total population given the vaccine uptake proportional to the population size for each gender in the two patches. The control reproduction number under vaccination is obtained and shown to provide a critical threshold for disease elimination.

#Multipatch rom how to#

How to allocate HPV vaccines between genders within each region and between regions to reduce the total infection? Here we develop a two-patch two-sex model to address these questions. What is the impact of disassortative geographical mixing on the dynamics of HPV transmission? Vaccination is effective in preventing HPV infection. Human papillomavirus (HPV) infection can spread between regions.

eradicated) in the network, even though the disease dies out (resp. Our result indicates that (a) neglecting asymptotic infections may underestimate the risk of infection (b) travel can help the disease to become persistent (resp. Numerical simulations are carried out to illustrate the impact of asymptotic infections and population dispersal on the spread of cholera. The basic reproduction number egin, the disease is uniformly persistent and our system admits at least one positive periodic solution. This paper is devoted to a general multipatch cholera epidemic model to investigate disease dynamics in a periodic environment.