Upadhyay Ranjit Kumar, Kumari Nitu, Rao V Sree Hari
Department of Applied Mathematics, Indian School of Mines University, Dhanbad 826 004, Jharkhand, India.
Department of Mathematics, Jawaharlal Nehru Technological University, Hyderabad 500 072, India.
Nonlinear Anal Real World Appl. 2008 Sep;9(4):1638-1648. doi: 10.1016/j.nonrwa.2007.04.009. Epub 2007 May 8.
Avian influenza, commonly known as bird flu, is an epidemic caused by H5N1 virus that primarily affects birds like chickens, wild water birds, etc. On rare occasions, these can infect other species including pigs and humans. In the span of less than a year, the lethal strain of bird flu is spreading very fast across the globe mainly in South East Asia, parts of Central Asia, Africa and Europe. In order to study the patterns of spread of epidemic, we made an investigation of outbreaks of the epidemic in one week, that is from February 13-18, 2006, when the deadly virus surfaced in India. We have designed a statistical transmission model of bird flu taking into account the factors that affect the epidemic transmission such as source of infection, social and natural factors and various control measures are suggested. For modeling the general intensity coefficient , we have implemented the recent ideas given in the article , [R. Howlett, Fitting the bill, Nature 439 (2006) 402], which describes the geographical spread of epidemics due to transportation of poultry products. Our aim is to study the spread of avian influenza, both in time and space, to gain a better understanding of transmission mechanism. Our model yields satisfactory results as evidenced by the simulations and may be used for the prediction of future situations of epidemic for longer periods. We utilize real data at these various scales and our model allows one to generalize our predictions and make better suggestions for the control of this epidemic.
禽流感,通常被称为禽流感,是一种由H5N1病毒引起的流行病,主要影响鸡、野生水鸟等禽类。在极少数情况下,这些病毒会感染包括猪和人类在内的其他物种。在不到一年的时间里,致命的禽流感毒株在全球迅速传播,主要集中在东南亚、中亚部分地区、非洲和欧洲。为了研究疫情的传播模式,我们对2006年2月13日至18日这一周内疫情的爆发情况进行了调查,当时这种致命病毒在印度出现。我们设计了一个禽流感的统计传播模型,考虑了影响疫情传播的因素,如传染源、社会和自然因素,并提出了各种控制措施。为了对一般强度系数进行建模,我们采用了文献[R. Howlett,《符合要求》,《自然》439(2006)402]中给出的最新观点,该文献描述了由于家禽产品运输导致的疫情地理传播。我们的目的是研究禽流感在时间和空间上的传播,以便更好地理解传播机制。我们的模型通过模拟得到了令人满意的结果,可用于预测更长时期内疫情的未来情况。我们利用这些不同尺度的真实数据,我们的模型使人们能够推广我们的预测,并对控制这种疫情提出更好的建议。