… In practice, the HM matrix (3) is a sorted matrix according to the fitness of the objective
function, for example, Ingram & Zhang [10] suggested to store the best solution vector in the first …

The memory-based diffusion systems have wide applications in practice. Hopf bifurcations
are observed from such systems. To meet the demand for computing the normal forms of the …

The study of spatio-temporal behaviour of ecological systems is fundamentally important as
it can provide deep understanding of species interaction and predict the effects of …

In this paper, we propose a stochastic non-autonomous Lotka–Volterra predator–prey
model with impulsive effects and investigate its stochastic dynamics. We first prove that the …

This paper intends to develop a new method to obtain the threshold of an impulsive stochastic
chemostat model with saturated growth rate in a polluted environment. By using the theory …

We investigate the effects of diffusion on the spatial dynamics of a predator–prey model with
hyperbolic mortality in predator population. More precisely, we aim to study the formation of …

The Harmony Search (HS) algorithm appeared around the year 2000 and it now has a
substantial literature. The aim of this chapter is to inform the reader of the diversity of HS …

In this paper, the Turing pattern formation in a diffusive toxin producing phytoplankton–zooplankton
model with three-dimensional patch is investigated. Firstly, the conditions for the …

In this paper, we propose new mathematical models with nonlinear incidence rate and double
epidemic hypothesis. Then we dedicate to develop a method to obtain the threshold of the …

In this paper, a spatial predator-prey model with herd behavior in prey population and quadratic
mortality in predator population is investigated. By the linear stability analysis, we obtain …