https://doi.org/10.1140/epjp/i2018-12164-1
Regular Article
Computational dynamics of the Nicholson-Bailey models
1
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
* e-mail: ravikiran@ddn.upes.ac.in
Received:
24
June
2018
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
