*Correspondence: [email protected] 1School of Mathematical Science, University of Science and Technology of China, Hefei, 230036, China 2School of Mathematics and Statistics, Hefei Normal University, Hefei, 230601, China Full list of author information is available at the end of the article Abstract This paper is concerned with a class of neutral Nicholson blowflies models with leakage delays...

The Burgers equation is a simplified form of the Navier-Stokes equations that very well represents their non-linear features. In this paper, numerical methods of the Adomian decomposition and the Modified Crank Nicholson, used for solving the one-dimensional Burgers equation, have been compared. These numerical methods have also been compared with the analytical method. In contrast to the conve...

Discrete-time models are the traditional approach for capturing population dynamics of a hostparasitoid system. Recent work has introduced a semi-discrete framework for obtaining model update functions that connect host-parasitoid population levels from year-to-year. In particular, this framework uses differential equations to describe the hosts-parasitoid interaction during the time of year wh...