A note on the moments of the final size of the general epidemic model

1980 ◽  
Vol 17 (2) ◽  
pp. 532-538 ◽  
Author(s):  
Ross Dunstan
Keyword(s):  
Population Size ◽  
Epidemic Model ◽  
Asymptotic Series ◽  
Algebraic Methods ◽  
Series Expansions ◽  
Final Size

In the general epidemic model we study the first two moments of the final size. Beginning with the backwards equation, algebraic methods are used to find their asymptotic series expansions as the population size increases.

A note on the moments of the final size of the general epidemic model

1980 ◽  
Vol 17 (02) ◽  
pp. 532-538 ◽  
Author(s):  
Ross Dunstan
Keyword(s):  
Population Size ◽  
Epidemic Model ◽  
Asymptotic Series ◽  
Algebraic Methods ◽  
Series Expansions ◽  
Final Size

In the general epidemic model we study the first two moments of the final size. Beginning with the backwards equation, algebraic methods are used to find their asymptotic series expansions as the population size increases.

scholarly journals The mathematics of multiple lockdowns

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Antonio Scala
Keyword(s):  
Beneficial Effect ◽  
Epidemic Model ◽  
Final Size ◽  
Optimal Response ◽  
Support Strategy ◽  
The Impact ◽  
New Strategies

AbstractWhile vaccination is the optimal response to an epidemic, recent events have obliged us to explore new strategies for containing worldwide epidemics, like lockdown strategies, where the contacts among the population are strongly reduced in order to slow down the propagation of the infection. By analyzing a classical epidemic model, we explore the impact of lockdown strategies on the evolution of an epidemic. We show that repeated lockdowns have a beneficial effect, reducing the final size of the infection, and that they represent a possible support strategy to vaccination policies.

scholarly journals Modeling the dynamics of epidemics of infectious diseases under conditions of diffusion perturbations

2021 ◽  
pp. 58-63
Author(s):  
Andrii Bomba ◽  
Serhii Baranovsky
Keyword(s):  
Infectious Disease ◽  
Infectious Diseases ◽  
Epidemic Model ◽  
Numerical Experiments ◽  
Model Problem ◽  
Asymptotic Series ◽  
Singularly Perturbed ◽  
Sirs Epidemic Model ◽  
Spatially Distributed ◽  
Perturbed Model

The paper proposes a modification of the SIRS epidemic model to take into account the influence of diffusion perturbations on the dynamics of the spread of an infectious disease. A singularly perturbed model problem with delay is reduced to a sequence of problems without delay. The sought functions are represented in asymptotic series as perturbations of solutions of the corresponding degenerate problems. The results of numerical experiments illustrating the influence of spatially distributed diffusion redistributions on the spread of an infectious disease are presented.

Sign in / Sign up

Export Citation Format

Share Document