scholarly journals Mathematical Modeling of Covid-19 Disease Dynamics and Analysis of Intervention Strategies

2020 ◽  
Vol 5 (3) ◽  
pp. 176
Author(s):  
Rotich Kiplimo Titus ◽  
Lagat Robert Cheruiyot ◽  
Choge Paul Kipkurgat
2018 ◽  
Author(s):  
Kankoé Sallah ◽  
Roch Giorgi ◽  
El Hadj Ba ◽  
Martine Piarroux ◽  
Renaud Piarroux ◽  
...  

AbstractBackgroundIn central Senegal malaria incidences have declined in recent years in response to scaling-up of control measures, but now remains stable, making elimination improbable. Additional control measures are needed to reduce transmission.MethodsBy using a meta-population mathematical model, we evaluated chemotherapy interventions targeting stable malaria hotspots, using a differential equation framework and incorporating human mobility, and fitted to weekly malaria incidences from 45 villages, over 5 years. Three simulated approaches for selecting intervention targets were compared: a) villages with at least one malaria case during the low transmission season of the previous year; b) villages ranked highest in terms of incidence during the high transmission season of the previous year; c) villages ranked based on the degree of connectivity with adjacent populations.ResultsOur mathematical modeling, taking into account human mobility, showed that the intervention strategies targeting hotspots should be effective in reducing malaria incidence in both treated and untreated areas.ConclusionsMathematical simulations showed that targeted interventions allow increasing malaria elimination potential.


2020 ◽  
Vol 1 (supplement) ◽  
pp. 5
Author(s):  
Amna Ishtiaq

The current pandemic of coronavirus disease 2019 (COVID-19) caused by severe acute respiratory syndrome coronavirus 2 (SARS-Cov2) demands scientists all over the world to make their possible contributions in whatever way possible to control this disease. In such health emergency, mathematical epidemiologists are playing a pivotal role by constructing different mathematical and statistical models for predicting different future scenario and their impact on different intervention strategies to policy makers and health legislators. Compartmental-based models (CBM), are a type of transmission dynamic framework, which are one of the most studied models during this pandemic. This communication highlights the role CBM models play for the understanding of COVID-19 transmission dynamics.


2020 ◽  
Vol 17 (5) ◽  
pp. 5961-5986
Author(s):  
Sarita Bugalia ◽  
◽  
Vijay Pal Bajiya ◽  
Jai Prakash Tripathi ◽  
Ming-Tao Li ◽  
...  

Virulence ◽  
2013 ◽  
Vol 4 (4) ◽  
pp. 295-306 ◽  
Author(s):  
Constantinos I. Siettos ◽  
Lucia Russo

2014 ◽  
Vol 113 (4) ◽  
pp. 457-468 ◽  
Author(s):  
Kimbra G. Turner ◽  
Matthew J. Smith ◽  
Benjamin J. Ridenhour

2018 ◽  
Vol 11 (02) ◽  
pp. 1850017 ◽  
Author(s):  
Peter Mpasho Mwamtobe ◽  
Simphiwe Mpumelelo Simelane ◽  
Shirley Abelman ◽  
Jean Michel Tchuenche

A model which incorporates some of the basic epidemiological features of the co-dynamics of malaria and tuberculosis (TB) is formulated and the effectiveness of current intervention strategies of these two diseases is analyzed. The malaria-only and TB-only models are considered first. Global stability disease-free steady states of the two sub-models does not hold due to the co-existence of stable disease-free with stable endemic equilibria, a phenomenon known as backward bifurcation. The dynamics of the dual malaria–TB model with intervention strategies are also analyzed. Numerical simulations of the malaria–TB model are carried out to determine whether the two diseases can co-exist. Lastly, sensitivity analysis on key parameters that drive the disease dynamics is performed in order to identify their relative importance to disease transmission.


2016 ◽  
Vol 10 (1) ◽  
pp. 222-249 ◽  
Author(s):  
Michael R. Kelly ◽  
Joseph H. Tien ◽  
Marisa C. Eisenberg ◽  
Suzanne Lenhart

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