چکیده

Every year, wildlife accidents with vehicles on the roads injure and kill millions of animals and thousands of people around the world. Considering the climatic, natural, and human reasons envolving the phenomenon, this study has computed the number of spring wildlife casualties on an international road (97E), eastern Iran, surrounded by agricultural and non-agricultural lands. The daily data have been collected after the occurrence and observation of field cases, then a mathematical model was proposed aiming to investigate the relationship between the animals’ losses and the vehicles’ collisions. The suggested model can be defined as a “one-wildlife species model” supposing a negative impact of vehicles on animals’ mortality and the other assumptions are: these animals in the absence of vehicles enjoy a logistic growth rate, also, all of the collisions lead to wildlife casualties; while the animals will have no effect on increasing or decreasing of vehicles number. In other words, the vehicles can be considered as a nuisance factor for animals crossing the road. The variables and parametric coefficients used in this research are: The independent variable t which represents time; The dependent variables x and y indicate the number of animal populations and vehicles respectively; Parameters a and d illustrates the exponential growth rate of animals and vehicles respectively; Parameter b shows the logistics growth rate of animals; Parameter c indicates the impact factor of vehicles on animals; Parameter M represents the source capacity of the environment for wildlife; Parameter h indicates the harvesting factor for animals some of which are annually killed by vehicles. All the above parameters are mathematically positive and based on the mentioned hypotheses, the following model is to be introduced: {█(x^ =x(a-bx/M-cy-h)@y^.=dy)┤ (1)

کليدواژه ها

Road, wildlife mortality, differential equation, surrounding habitat, growth rate

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محمدناصر مودودی , 1400 , Mathematical modeling of roads’ wildlife losses considering the (agricultural/ non-agricultural) surrounding habitats , نخستین همایش بین المللی و سومین همایش ملی ریاضیات زیستی