In this paper, we consider the following nonlinear single species diffusive system \begin{eqnarray*} \dot{x}_i(t)&=& x_i(t)\left(b_i(t)-\sum_{k=1}^{l_i}a_{ik}(t)(x_i(t))^{\beta_{ik}}\right)\\ && +\,\sum_{j=1}^{n}D_{ij}(t)(x_j(t)-x_i(t)),\quad (i,j=1,2,\ldots,n), \end{eqnarray*} where bi(t),...

Resistance to a postinfection HIV vaccine that stimulates cytotoxic T-lymphocytes (CTLs) depends on the relationship between the vaccine strength, the fitness cost of the mutant strain, and the rate of mutant escape. If the vaccine is strong enough, both strains of the virus should be controlled...

In this paper, the dynamics of an impulsively controlled predator–prey system with the Hassell–Varley functional response are studied. Under impulsive control, the conditions for the existence of a stable prey-free solution and for the permanence of the system are investigated by using...

The effects of periodic forcing and impulsive perturbations on the predator–prey model with Beddington–DeAngelis functional response are investigated. We assume periodic variation in the intrinsic growth rate of the prey as well as periodic constant impulsive immigration of the predator. The...

This paper addresses the management of multispecies fisheries, and suggests the use of restricted fishing policies as an interesting option for unassessed fisheries (as is the case within developing countries). Specifically, we consider a predator–prey system under two potential management...

Rotational flow is often observed in lotic ecosystems, such as streams and rivers. For example, when an obstacle interrupts water flowing in a stream, energy dissipation and momentum transfer can result in the formation of rotational flow, or a vortex. In this study, I examined how rotational...

The paper presents an analysis of the traffic dynamics in a network of signalized intersections. The intersections are regulated by fixed-time (FT) controls, all with the same cycle length or period, T. The network is modeled as a queuing network. Vehicles arrive from outside the network at...