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The Effect of Transport-related Infection and Exit-entry Screening on Disease Spread

Author: ChenXiaoPing
Tutor: LiuXianNing
School: Southwestern University
Course: Applied Mathematics
Keywords: SIQS Epidemic Model Journey infection Health check Stability Persistent
CLC: R181.3
Type: Master's thesis
Year: 2011
Downloads: 8
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Abstract


The main consideration road infection and the impact of immigration health check on the spread of disease, established SIQS model. Subsequently, we discuss the dynamical behavior of the model, the use of the basic reproduction number is equal to the critical conditions, the rate of infection, check out successfully infected by the probability of the parameter space is divided into a number of regions, each region represents a situation based on the theoretical results to explain the reasonableness and necessity of immigration health check. text is divided into five chapters in the first chapter brief from the crowd migration model to model the spread of infectious diseases, from diffusion in two patches, extended to model the spread of infectious diseases among n patches, introduce and establish multiple populations in multiple patches the proliferation of SEIRS model's general framework. listed lemmas and theorems to be used in this paper and the main work in the second chapter, the establishment of the SIS model of infection are two ways to travel the road , analysis of the dynamical behavior of the model by comparing the size of the basic reproduction travel to try to take the infection rate coefficient transport, is conducive to the control of the disease. third chapter, consider the road infection and unilateral (outbound or inbound) health check a health check SIQS model, when the basic reproduction number is less than 1, the disease-free equilibrium is globally asymptotically stable when the basic reproductive number greater than 1 Routh-Hurwitz the criteria and Gersgorin's disc theorem comprehensive use of the local equilibrium point is locally asymptotically stable, and the disease is continuing survival. mathematical conclusions that exit or entry health examination can reduce the number of infected people and the road infections incidence of beneficial control road endemic infection leads. journey infection and immigration health check in the fourth chapter, the use of the next-generation matrix method (The Next Generation Matrix Method) to calculate the model The basic reproductive number. analysis of the dynamical behavior of the model, when the basic reproduction number is less than 1, the disease-free equilibrium is globally asymptotically stable when the basic reproduction number greater than 1, the endemic equilibrium is locally asymptotically stable. journey infection always contribute to the spread of disease, immigration health checks always inhibit the spread of the disease, and because such a check may be extinct road infections that cause endemic diseases, select a specific entry checks or exit check, or even both sides, the final chapter of this according to the boundary success check out the size of the probability of infected persons to determine the immigration successfully check out the greater the probability of infected persons, the road infections that cause disease, the easier it is extinct. summarize and Looking ahead, the difficulties met by the two different size cities SIS model, put forward the need for further study and solve the problem.

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CLC: > Medicine, health > Preventive Medicine,Health > Epidemiology and Prevention of Disease > Epidemiology of the basic theory and methods > Special epidemiological each
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