Modeling the Effect of Misdiagnosis in the Co-circulation and Co-infection of Dengue and Zika Virus Disease
Keywords:
Dengue Fever, zika virus disease, Stability Analysis, Basic reproduction numberAbstract
Dengue and zika virus disease are flavivirus diseases that spread through bites of Aedes aegypti, a mosquito in the Aedes family. There have been emerging reports of co-infection of these two diseases in humans and Aedes aegypti, in the areas where the two diseases are prevalent. More so, the two diseases are known to manifest similar characteristic symptoms, which makes it possible for mis-diagnosis and wrong treatment. In this paper therefore, we model co-circulation and co-infection of dengue and zika virus disease in human and mosquito populations, with a system of non-linear ordinary differential equations. It is shown that the disease-free equilibrium of the model may not be globally asymptotically stable due to re-infection of infected humans and mosquitoes by the other disease. The impact of mis-diagnosis of the diseases is investigated which shows that mis-diagnosis would increase the spread of the diseases if the proportion of humans that are accurately diagnosed and treated is more than the rate of recovery of humans that are wrongly diagnosed and treated. Positive constants which give the rates at which the spread of one disease affects the spread of the other are obtained. Plots are given to visualize these important results.
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F. Rocha, L. Mateus, U. Skwara, M. Aguiar & N. Stollenwerk, “Understanding dengue fever dynamics: a study of seasonality in vector-borne disease models”. Int J Comput Math. 93(2015)8.
S. B. Halstead & S. Nimmannitya, S. N. Cohen, “Observations related to pathogenesis of dengue haemorrhagic fever. IV. Relation of disease severity to antibody response and virus recovered”, The Yale journal of biology and medicine 42(1970)5.
World Health Organization. Dengue: Guidelines for Diagnosis, Treatment, Prevention and Control New Edition. Geneva, Switzerland: WHO Press; 2009.
F. N. Macnamara. “Zika virus: a report on three cases of human infection during an epidemic of jaundice in Nigeria”, Trans R Soc Tropical Medical Hygiene48(1954).
D. Gao, Y. Lou, D. He, T. C. Porco, Y. Kuang, G. Chowell & S. Ruan, “Prevention and Control of Zika as a Mosquito-Borne and Sexually Transmitted Disease: A Mathematical Modelling Analysis”, Scientific Reports,6(2016)28070.
A. C. Gourinat & O. O’Connor, “Detection of Zika virus in urine”, Emerging Infectious Disease 21(2015)
P. Brasil , J. P. Pereira, M. E. Moreira, R. M. R. Nogueira, ........., & R. Baiao, ”Zika Virus Infection in Pregnant Women in Rio de Janeiro”, N English Jorunal Med. 375(2016), https://doi.org/10.1056/NEJMoa1602412.
L. C. Caires-Junior, E. Goulart, U. S. Melo, B. H. S. Araujo, L. Alvisi, A. Soares-Schanoski, ...., & M. Zartz”, Discordant congenital Zika syndrome twins show differential in vitro viral susceptibility of neural progenitor cells”, National Communication 9(2018)475, https://doi.org/10.1038/s41467-017-02790-9.
World Health Organization. WHO statement on the first meeting of the International Health Regulations (2005) (IHR 2005) Emergency Committee on Zika virus and observed increase in neurological disorders and neonatal malformations 2016. http://www.who.int/mediacentre/news/statements/2016/1st-emergencycommittee-zika/en/
R. Pessoa, J. V. Patriota, S. Lourdes, A. S. Maria, A. C. Felix, N. B. S. Mamede & S. S. Sanabani, ”Investigation Into an Outbreak of Dengue-like Illness in Pernambuco, Brazil, Revealed a Cocirculation of Zika, Chikungunya, and Dengue Virus Type 1”, Medicine (Baltimore)bf95(2016), e3201, https://doi.org/10.1097/MD.0000000000003201.
A. A. Faccini-Martinez, C. A. Botero-Garcia, F. C. Benitez-Baracaldo & C. E. Perez-Diaz, ” With regard about the case of Dengue, ChikungunyaandZikaco-infectioninapatientfromColombia”,JInfect.Public Health9(2016), https://doi.org/10.1016/j.jiph.2016.01.001.
N. M. Lovine, J. Ladnicky, K. Cherabuddu, H. Crooke, S. K. White..........& J. G. Morris, ” Coinfection With Zika and Dengue2 Viruses in a Traveller Returning From Haiti, 2016: Clinical Presentation and Genetic Analysis”, Clin Infect Dis 64(2017), https://doi.org/10.1093/cid/ciw667
C. Siqueira, V. Fres, L. Coutinho, I. Junqueira, L. Bento, L. Montes & J. B. Siqueira, “Six Cases of Zika/Dengue Co-infection in a Brazilian Cohort, 20152019”, Viruses 12 ¯ (2020)1201, 2020, doi:10.3390/v12101201
M.Y. Carrillo-Hernandez, J. Ruiz-Saenz, L.J. Villamizar, S.Y. Gomez Rangel & M. Martinez-Gutierrez, ” Co-circulation and simultaneous co-infection of dengue, chikungunya, and zika viruses in patients with febrile syndrome at the Colombian-Venezuelan border. BMC Infect Dis 18(2018)61.
Centres for Disease Control and Prevention. Zika virus disease in the United States, 20152016. http://www.cdc.gov/zika/geo/unitedstates.html (Accessed on March 21, 2016).
E. Bonyah, M. A. Khan, K. O. Okosun & J. F. Gomez-Aguilar, “On the co-infection of dengue fever and Zika virus” Optim Control Appl Meth. 40(2019), https://doi.org/10.1002/oca.2483
O. Omomayowa. Mathematical Modelling of Zika Virus Transmission and Multiple Pathogen Interactions, PhD Thesis, The University of Texas at Arlington (2019).
O. Diekmann, J. A. Heesterbeek & M. G. Roberts, “The construction of next-generation matrices for compartmental epidemic models” Journal of Royal Society Interface7(2010).
R. A. Horn and C. R. Johnson, Topics in matrix analysis, Cambridge University Press, Cam- bridge (1994).
S. Abdulrahman, N. I. Akinwande, O. B. Awojoyogbe & U. Y. Abubakar, “Sensitivity Analysis of the Parameters of a Mathematical Model of Hepatitis B Virus Transmission”, Universal Journal of Applied Mathematics1(2013)4.
P. Van Den Driessche & J. Watmough, “Reproduction Numbers and the Sub-Threshold Endemic Equilibria for Compartmental Models of Infectious Disease Transmission”, Mathematical Biosciences 180(2002).
C. Castillo-Chavez, Z. Feng & W. Huang, “On the Computation of R0 and its role on global stability”, Mathematical Approaches for emerging and remerging Infectious Diseases 1(2012)229.
H. Hughes & N. F. Britton, “Modelling the use of Wolbachia to control dengue fever transmission”, Bulletin of Mathematical Biology 75(2013)5.
L. E. Lopez, A. M. Loaiza & G. O. Tost, “Mathematical Model for the Transmission of the Dengue with Biological Control”, Applied Mathematical Sciences,10(2016)30.
S. Olaniyi, “Dynamics of Zika virus Model with non-linear Incidence and Optimal Control”, Applied Mathematics and Information Sciences 12(2018).
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