Computational dynamics of the Nicholson-Bailey models
Department of Mathematics, Pingla Thana Mahavidyalaya, Medinipur, West Bengal, India
2 Department of Mathematics, School of Engineering, University of Petroleum and Energy Studies, Bidholi, Dehradun, India
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Accepted: 23 July 2018
Published online: 4 September 2018
In population dynamics, the Nicholson-Bailey model describes the host-parasitoid system which has been well studied since 1930 with a consideration that the parameters are all positive real numbers. In this article, the dynamics of the Nicholson-Bailey model and is reinvestigated computationally where all the parameters are considered as real numbers. The model has all sorts of dynamical behavior such as chaotic, periodic and locally stable/unstable equilibriums. In addition, the dynamics of the scaled Nicholson-Bailey , where and are scaling factors and of the noisy model , , where is uniformly distributed noise over the interval (0,1), are also reconnoitered computationally.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2018