Diarrhea is the third most fatal disease in the developing countries. Approximately 611,000 children die each year due to effect of rotavirus infection. Rotavirus also causes gastroenteritis in adults and it is the main cases of travellers’ diarrhea. After initial contact, children are more susceptible to be affected with diarrhoeal illnesses of any kind, but the repeatition of infections with rotavirus tend to be less severe than the original infection. Rotavirus continues to persist, is attributed to the different modes of transmission among the pathogens. To fight against this problem, several rotavirus vaccines have been developed. Federal Drug Administration (FDA) approved drugs within the last two years are currently in use. These vaccines present a degree of protection from rotavirus infection. We formulate a model of the spread of rotavirus diarrhea based on a continuous time ordinary differential equations model. We further expand the model to investigate the effects of pulse vaccination. We use computer simulations to further analyze the effect of vaccination as a controlled method. We find the minimum levels of vaccination necessary in this model to eradicate severe rotavirus disease.
Published in | Journal of Chemical, Environmental and Biological Engineering (Volume 2, Issue 1) |
DOI | 10.11648/j.jcebe.20180201.15 |
Page(s) | 26-31 |
Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
Copyright |
Copyright © The Author(s), 2018. Published by Science Publishing Group |
Diarrhea, Rota Virus, Pulse Vaccination, Impulsive Differential Equation
[1] | Tate JE, Burton AH, Boschi-Pinto C, Steele AD, Duque J, Parashar UD. “Estimate of worldwide rotavirus-associated mortality in children younger than 5 years before the introduction of universal rotavirus vaccination programmes: a systematic review and meta-analysis,” Lancet Infect Dis, V 11, pp. 1–6, (2011). |
[2] | Jit M, Edmunds WJ., “Evaluating rotavirus vaccination in England and Wales. Part II. The potential cost-effectiveness of vaccination.” Vaccine, V25 25, pp. 3971–3979, (2007). |
[3] | Jaewoo P., Joshua G., Murali H., Matthew F., “An ensemble approach to predicting the impact of vaccination on rotavirus disease in Niger”, Vaccine, V35 (43), pp. 5835-5841, (2017). |
[4] | Onyango L. O., Chuncheng W., Xiaoping X., Owuor G. L., “Modeling the effects of vaccination on rotavirus infection”, Advances in Difference Equations, pp. 01-12, (2015) |
[5] | Parashar, U. D., Bresee, J. S., Gentsch, J. R., Glass, R. I., “Rotavirus”, Emerging infectious diseases, V 4(4), pp. 561–570, (1998). |
[6] | Shim, E., Banks, H. T., C. Castillo-Chaves, C., Chavez, A., “Seasonality of Rotavirus Infection with its Vaccination”., Contemp.Math, 410, 327-347, (2006). |
[7] | Katherine E. Atkinsa, Eunha S., Virginia E. Pitzer Alison P. Galvani, “Impact of rotavirus vaccination on epidemiological dynamics in England and Wales,” Vaccine, V 30, pp. 552-564, (2012). |
[8] | Shim, E., Feng, Z., Martcheva, M., Castillo-Chavez, C., “An age-structured epidemic model of rotavirus with vaccination.” Journal of Mathematical Biology, V 53, pp. 719–746, (2006). |
[9] | Christopher, M., Kribs, Z., ·Jean-François J., Philippe V., Sandrine C., “Modeling Nosocomial Transmission of Rotavirus in PediatricWards,” Bull Math Biol, V 73, pp. 1413–1442, (2011). |
[10] | Roldaoa, A, Helena L. A., Vieiraa, Manuel J. T. Carrondoa, b, Paula M. Alvesa, R. Oliveira, “Rotavirus-Like Particle Production: Simulation of Protein Production and Particle Assembly” 16th European Symposium on Computer Aided Process Engineering and 9th International Symposium on Process Systems Engineering, pp. 1673–1678. |
[11] | R. J. Smith? Explicitly accounting for antiretroviral drug uptake in theoretical HIV models predicts long-term failure of protease-only therapy, Journal of Theoretical Biology, V 251(2), pp. 227–237, (2008). |
[12] | R. J. Smith and L. M. Wahl, Drug resistance in an immunological model of HIV-1 infection with impulsive drug effects, The Bulletin of Mathematical Biology, V 67:4, pp. 783–813, (2005). |
[13] | R. J. Smith and L. M. Wahl, Distinct effects of protease and reverse transcriptase inhibition in an immunological model of HIV-1 infection with impulsive drug effects, The Bulletin of Mathematical Biology, V 66:5, pp. 1259–1283, (2004). |
APA Style
Amar Nath Chatterjee. (2018). The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea. Journal of Chemical, Environmental and Biological Engineering, 2(1), 26-31. https://doi.org/10.11648/j.jcebe.20180201.15
ACS Style
Amar Nath Chatterjee. The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea. J. Chem. Environ. Biol. Eng. 2018, 2(1), 26-31. doi: 10.11648/j.jcebe.20180201.15
AMA Style
Amar Nath Chatterjee. The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea. J Chem Environ Biol Eng. 2018;2(1):26-31. doi: 10.11648/j.jcebe.20180201.15
@article{10.11648/j.jcebe.20180201.15, author = {Amar Nath Chatterjee}, title = {The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea}, journal = {Journal of Chemical, Environmental and Biological Engineering}, volume = {2}, number = {1}, pages = {26-31}, doi = {10.11648/j.jcebe.20180201.15}, url = {https://doi.org/10.11648/j.jcebe.20180201.15}, eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jcebe.20180201.15}, abstract = {Diarrhea is the third most fatal disease in the developing countries. Approximately 611,000 children die each year due to effect of rotavirus infection. Rotavirus also causes gastroenteritis in adults and it is the main cases of travellers’ diarrhea. After initial contact, children are more susceptible to be affected with diarrhoeal illnesses of any kind, but the repeatition of infections with rotavirus tend to be less severe than the original infection. Rotavirus continues to persist, is attributed to the different modes of transmission among the pathogens. To fight against this problem, several rotavirus vaccines have been developed. Federal Drug Administration (FDA) approved drugs within the last two years are currently in use. These vaccines present a degree of protection from rotavirus infection. We formulate a model of the spread of rotavirus diarrhea based on a continuous time ordinary differential equations model. We further expand the model to investigate the effects of pulse vaccination. We use computer simulations to further analyze the effect of vaccination as a controlled method. We find the minimum levels of vaccination necessary in this model to eradicate severe rotavirus disease.}, year = {2018} }
TY - JOUR T1 - The Effect of Pulse Vaccination on the Transmission Dynamics of Rotavirus Diarrhea AU - Amar Nath Chatterjee Y1 - 2018/07/09 PY - 2018 N1 - https://doi.org/10.11648/j.jcebe.20180201.15 DO - 10.11648/j.jcebe.20180201.15 T2 - Journal of Chemical, Environmental and Biological Engineering JF - Journal of Chemical, Environmental and Biological Engineering JO - Journal of Chemical, Environmental and Biological Engineering SP - 26 EP - 31 PB - Science Publishing Group SN - 2640-267X UR - https://doi.org/10.11648/j.jcebe.20180201.15 AB - Diarrhea is the third most fatal disease in the developing countries. Approximately 611,000 children die each year due to effect of rotavirus infection. Rotavirus also causes gastroenteritis in adults and it is the main cases of travellers’ diarrhea. After initial contact, children are more susceptible to be affected with diarrhoeal illnesses of any kind, but the repeatition of infections with rotavirus tend to be less severe than the original infection. Rotavirus continues to persist, is attributed to the different modes of transmission among the pathogens. To fight against this problem, several rotavirus vaccines have been developed. Federal Drug Administration (FDA) approved drugs within the last two years are currently in use. These vaccines present a degree of protection from rotavirus infection. We formulate a model of the spread of rotavirus diarrhea based on a continuous time ordinary differential equations model. We further expand the model to investigate the effects of pulse vaccination. We use computer simulations to further analyze the effect of vaccination as a controlled method. We find the minimum levels of vaccination necessary in this model to eradicate severe rotavirus disease. VL - 2 IS - 1 ER -