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机构地区:[1]Department of Applied Science Haldia Institute of Technology, HaldiaPurba Medinipur, West Bengal 721657, India [2]Department of MathematicsMugberia Gangadhar Mahavidyalaya Bhupatinagar, Purba Medinipur West Bengal 721325, India [3]Vidyasagar University, MidnaporePaschim Medinipur, West Bengal 721102, India
出 处:《International Journal of Biomathematics》2015年第5期263-294,共32页生物数学学报(英文版)
摘 要:In this paper, we consider three species harvesting model and develop a solution proce- dure which is able to calculate the equilibrium points of the model where some biological parameters of the model are interval numbers. A parametric mathematical program is formulated to find the biological equilibrium of the model for different values of parame- ters. This interval-valued problem is converted into equivalent crisp model using interval operations. The main advantage of the proposed procedure is that we can present dif- ferent characteristics of the model in a single framework. Analytically, the existence of steady state and stabilities are looked into. Using mathematical software, the model is illustrated and the results are obtained and presented in tabular and graphical forms.
关 键 词:Mathematical modeling three species harvesting interval biological para-meters stability.
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