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Muhammad Ilyas Shaheen Abbas Afzal Ali Sadaqat Hussain Syed Akhter Raza


Dengue is the most vital arboviral disease in humans, which is occurring in tropical and subtropical areas around the world. Dengue fever is itemized as an urban human disease as it spreads easily to urban environmental/ morphological contexts because of the uneven increase of urban population and infectious diseases as a result of climate change. Dengue epidemic cases related to climatic parameters are helpful to monitor and prevent the transmission of dengue fever. Many studies have focused on describing the clinical aspects of dengue outbreak. We bring out the epidemiological study to investigate the dengue fever development and prediction in the Karachi city. This study described the oncological treatment by statistical analysis and fractal rescaled range (R/S) method of the dengue epidemics from January 2001 to December 2020, based on the urban morphological patterns, and climatic variables including temperature and ENSO respectively. The R/S method in oncologists has been carried in two ways, basic oncological/statistical analysis and Fractal dimension adapt to the study the nature of the subtleties of dengue epidemic data, another showing the dynamics of oncological process. Climate parameters are shown that the fractal dimension value revealed a persistency behavior i.e. time series is an increasing, Fractal analysis also confirmed the anti-persistent behavior of dengue for months of September to November and the normality tests specified the robust indication of the intricacy of data. This study will be useful for future researchers working on epidemiology and urban environmental oncological fields to improve and rectify the urban infectious diseases.

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ILYAS, Muhammad et al. RELATIONSHIP BETWEEN METROLOGICAL PARAMETERS AND VECTOR BORNE DENGUE DISEASE USING ONCOLOGICAL FRACTAL TREATMENT. Journal of Mountain Area Research, [S.l.], v. 6, p. 91-107, dec. 2021. ISSN 2518-850X. Available at: <>. Date accessed: 18 aug. 2022. doi:
Mathematical Sciences


[1] S. Abbas Urban Dynamics In The Perspective Of Environmental Change: Karachi as a Case Study (Doctoral dissertation, Federal Urdu University of Arts, Sciences and Technology Gulshan-e-Iqbal Campus Karachi (Pakistan)). (2011)
[2] S. Abbas and M. R. K. Ansari, Pattern of Karachi Katchi-Abadies. Journal J Basic Appl Sci. 6(2) (2010a).
[3] S. Abbas Shaheen and M. R. K. Ansari, Urbanization of Karachi Different Stages of Population Growth. J Basic Appl Sci 6(2) (2010b).
[4] Ilyas, M., Abbas, S., Naz, S. A., & Abbas, M. The impact of climatic influence on dengue infectious disease in Karachi Pakistan. Int J of Mosquito Res, 6 (2019) 04-13.
[5] A. Rizk, M. Simaan, W. D. Halpin and J. R Wilson, Fitting beta distributions based on sample data. J Constr Eng Manag 120(1994) 288-305.
[6] Ahmed, S. Afrozuddin, J. S. Siddiqi, S. Quaiser and A. Ahmed Siddiqui, Analysis of Climatic Structure with Karachi Dengue Outbreak. J Basic Appl Sci 11:(2015)544-552.
[7] Atique, Suleman, Shabbir Syed Abdul, Chien-Yeh Hsu, and Ting-Wu Chuang. Meteorological influences on dengue transmission in Pakistan. Asian Pac J Trop Med 9(2016) 954-61.
[8] Balmaseda, Angel et al, Assessment of the World Health Organization scheme for classification of dengue severity in Nicaragua. Am J Trop Med Hyg 73(2005) 1059-1062.
[9] B. Andrew, R. E. Green and M. Jenkins, Measuring the changing state of nature. Trends Ecol Evol 18:(2003)326-330.
[10] B. Michael and P. A. Longley, Fractal-based description of urban form. Environ Plann B Plann Des 14(1987) 123-134.
[11] B. Michael and P. A. Longley, Urban shapes as fractals. Area (1987b) 215-22.
[12] B. Michael and P. A. Longley, Fractal cities: a geometry of form and function. (Academic press), (1994).
[13] C. Antonietta, ENSO diversity in the NCAR CCSM4 climate model. J Geophys Res Oceans 118(2013) 4755-4770.
[14] D' Agostino Ralph B, Goodness-of-fit-techniques. (CRC press), (1986).
[15] Ebi, L. Kristie and J. Nealon, Dengue in a changing climate. Environmental research, 151(2016) 115-123.
[16] D. L. Engels, Chitsulo, A. Montresor, and L Savioli, The global epidemiological situation of schistosomiasis and new approaches to control and research. Acta tropica 82(2002) 139-146.
[17] Focks, D Ae, and Dave D Chadee, Pupal survey: an epidemiologically significant surveillance method for Aedes aegypti: an example using data from Trinidad', Am J Trop Med Hyg 56(1997) 159-167.
[18] Garmendia, Alfonso, and Adela Salvador, Fractal dimension of birds population sizes time series. Math Biosci 206(2007) 155-171.
[19] Gibbons, Robert V, and David W Vaughn, Dengue: an escalating problem. Bmj 324(2002) 1563-1566.
[20] Gill, CA, The Relationship of Malaria & Rainfall', Indian J Med Res, 7(1920).
[21] Gill, CA, The Influence of Humidity on the Life History of Mosquitoes and on their Power to Transmit Infection. Trans R Soc Trop Med Hyg 14(1921).
[22] Gill, Clifford Allchin. The Rôle oï Meteorology in Malaria. Indian J Med Res 8 (1921).
[23] Glattre, Eystein, Jan F Nygård, and Eystein Skjerve, Fractal epidemiology. Epidemiology 20(2009) 468.
[24] Goldberger, Ary L, and Bruce J West. Applications of Nonlinear Dynamics to Clinical Cardiology a. Ann N Y Acad Sci 504(1987) 195-213.
[25] Gubler, DJ, G Kuno, GE Sather, M Velez, and ANDA Oliver. Mosquito cell cultures and specific monoclonal antibodies in surveillance for dengue viruses. The Am J Trop Med Hyg 33(1984) 158-165.
[26] Gubler, Duane J, Epidemic dengue and dengue hemorrhagic fever: a global public health problem in the 21st century. In. emerging infections 1 (Am Soci of Micro), (1998).
[27] Hassan D, Abbas S, Ansari M. R. K and Jan B. The study of Sunspots and K-index data in the perspective of probability distributions. Int J Phys and SociSci 4(2014) 23.
[28] Holcomb, Edward Warren. Estimating parameters of stable distributions with application to nonlife insurance. Unpublished Ph. D. dissertation, University of Tennessee, (1973).
[29] Hoskin, Paul WO. 'Patterns of chaos: fractal statistics and the oscillatory chemistry of zircon', Geochimica et Cosmochimica Acta, 64(2000) 1905-23.
[30] Hussain MA, S Abbas and MRK Ansari. Persistency analysis of cyclone history in Arabian sea. The Nucleus 48(2011) 273-277.
[31] Inchausti, Pablo and John Halley, Investigating long-term ecological variability using the global population dynamics database. Science 293(2001) 655-57.
[32] Kale, Malhar Dilip and Ferry Butar Butar, Fractal analysis of time series and distribution properties of Hurst exponent. Sam Houston State University, (2005).
[33] Katsev, Sergei, and Ivan L’Heureux, Are Hurst exponents estimated from short or irregular time series meaningful? Computers & Geosciences 29(2003) 1085-1089.
[34] Kuno Goro, Review of the factors modulating dengue transmission. Epidemiol Rev 17(1995) 321-35.
[35] Law, Averill M, W David Kelton and W David Kelton. Simulation modeling and analysis. In.: McGraw-Hill New York, (1991).
[36] Le, Thanh Hoa, Measuring urban morphology for adaptation to climate change in Ho Chi Minh City, (2014).
[37] Maio, C, and C Schexnayder, Simulation model probability distribution functions: Relationships between input data and goodness-of-fit tests. In IAARC/IFAC/IEEE. International symposium (1999) 103-108.
[38] Mandelbrot, Benoit B. The fractal geometry of nature (WH freeman New York), (1982).
[39] Meakin, Paul, Fractals, scaling and growth far from equilibrium (Cambridge university press), (1998).
[40] Mena, Nelson, Adriana Troyo, Roger Bonilla-Carrión, and Ólger Calderón-Arguedas.. Factores asociados con la incidencia de dengue en Costa Rica. Revista Panamericana de Salud Publica. 29(2011) 234-242.
[41] Nygård, Jan F, and Eystein Glattre, Fractal analysis of time series in epidemiology: Is there information hidden in the noise? Norsk Epidemiologi 13 (2003).
[42] Rusch, Hannah L, and Jim Perry, Dengue and the Landscape: A Threat to Public Health. National Center for Case Study Teaching In Science. 1-4 (2011).
[43] Shen, Guoqiang, Fractal dimension and fractal growth of urbanized areas, Int J Geogr Inf Sci, 16(2002) 419-437.
[44] Shpilberg, David C, 'The probability distribution of fire loss amount. J Risk Insur: (1977) 103-115.
[45] Thode, Henry C. Testing for normality (CRC press), (2002).
[46] Troyo, Adriana, Douglas O Fuller, Olger Calderón‐Arguedas, Mayra E Solano, and John C Beier. Urban structure and dengue incidence in Puntarenas, Costa Rica. Singap J Trop Geogr 30(2009) 265-282.
[47] Weaver, Scott C, and Nikos Vasilakis, Molecular evolution of dengue viruses: contributions of phylogenetics to understanding the history and epidemiology of the preeminent arboviral disease. Infection, genetics and evolution 9(2009) 523-540.
[48] Wiens, Brian L, when log-normal and gamma models give different results: a case study. Am Stat, 53(1999) 89-93.