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Bessel functions and singular BVPs arising in physiology in the presence of upper and lower solutions in reverse order
Authors:Amit K Verma  Ravi P Agarwal  Lajja Verma
Institution:1. School of Mathematics and Statistics, Guizhou Key Laboratory of Economic System Simulation, Guizhou University of Finance and Economics, Guiyang, 550004, P.R. China
2. Institute of Mathematics, Academy of Mathematics and System Sciences, Beijing, 100080, P.R. China
Abstract:In this paper, we consider the genic mutation on an impulsive population system in polluted environment. All solutions of the investigated system are proved to be uniformly bounded. Using mathematical analysis methods, the conditions of the globally asymptotically stable population-extinction solution of the investigated system are obtained. The permanent condition of the investigated system is also obtained. Finally, numerical analysis is carried out illustrate our results. Our results provide reliable tactic basis for the practical biological resource management in polluted environment.
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