TY - JOUR
T1 - Preventing Superinfection in Malaria Spreads with Repellent and Medical Treatment Policy
AU - Fitri, Fanny
AU - Aldila, Dipo
N1 - Funding Information:
We thank all the reviewers for their supportive comments and suggestions. This research is funded by Universitas Indonesia with PITTA 2017 Research Grant Scheme (Project ID: 643/UN2.R3.1/HKP.05.00/2017)
Publisher Copyright:
© 2018 Published under licence by IOP Publishing Ltd.
PY - 2018/3/22
Y1 - 2018/3/22
N2 - Malaria is a kind of a vector-borne disease. That means this disease needs a vector (in this case, the anopheles mosquito) to spread. In this article, a mathematical model for malaria disease spread will be discussed. The model is constructed as a seven-dimensional of a non-linear ordinary differential equation. The interventions of treatment for infected humans and use of repellent are included in the model to see how these interventions could be considered as alternative ways to control the spread of malaria. Analysis will be made of the disease-free equilibrium point along with its local stability criteria, construction of the next generation matrix which followed with the sensitivity analysis of basic reproduction number. We found that both medical treatment and repellent intervention succeeded in reducing the basic reproduction number as the endemic indicator of the model. Finally, some numerical simulations are given to give a better interpretation of the analytical results.
AB - Malaria is a kind of a vector-borne disease. That means this disease needs a vector (in this case, the anopheles mosquito) to spread. In this article, a mathematical model for malaria disease spread will be discussed. The model is constructed as a seven-dimensional of a non-linear ordinary differential equation. The interventions of treatment for infected humans and use of repellent are included in the model to see how these interventions could be considered as alternative ways to control the spread of malaria. Analysis will be made of the disease-free equilibrium point along with its local stability criteria, construction of the next generation matrix which followed with the sensitivity analysis of basic reproduction number. We found that both medical treatment and repellent intervention succeeded in reducing the basic reproduction number as the endemic indicator of the model. Finally, some numerical simulations are given to give a better interpretation of the analytical results.
UR - http://www.scopus.com/inward/record.url?scp=85045740679&partnerID=8YFLogxK
U2 - 10.1088/1742-6596/974/1/012017
DO - 10.1088/1742-6596/974/1/012017
M3 - Conference article
AN - SCOPUS:85045740679
SN - 1742-6588
VL - 974
JO - Journal of Physics: Conference Series
JF - Journal of Physics: Conference Series
IS - 1
M1 - 012017
T2 - 3rd International Conference on Mathematics: Pure, Applied and Computation, ICoMPAC 2017
Y2 - 1 November 2017 through 1 November 2017
ER -