Steady state for a predator–prey cross-diffusion system with the Beddington–DeAngelis and Tanner functional response

Stability and Bifurcation in a Delayed Holling-Tanner Predator-Prey System with Ratio-Dependent Functional Response

We analyze a delayed Holling-Tanner predator-prey system with ratio-dependent functional response. The local asymptotic stability and the existence of the Hopf bifurcation are investigated. Direction of the Hopf bifurcation and the stability of the bifurcating periodic solutions are studied by deriving the equation describing the flow on the center manifold. Finally, numerical simulations are p...

Steady-State Performance Characteristics of Photovoltaic System Coupled with a Centrifugal Water Pump

In this article our objective is to obtain steady state characteristics of shunt, series, and separately excited DC motors coupled with a centrifugal water pump supplied through a step-up, step-down, and cuk converter from photovoltaic generator. We assume that there are no storage batteries and, of course, the system must operate on maximum utilization i.e. maximum water must be pumped. It is ...

Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAngelis Functional Response

Steady State Solutions of a Reaction-diffusion System Modeling Chemotaxis

We study the following nonlinear elliptic equation 8 < : u ? u + (e u R e u ? 1 jj) = 0 in ; @u @ = 0 on @; where is a smooth bounded domain in R 2. This equation arises in the study of stationary solutions of a chemotaxis system proposed by Keller and Segel. Under the condition that > jj ? 1 ; 6 = 4m for m = 1; 2; :::, where 1 is the rst (nonzero) eigenvalue of ? under the Neumann boundary con...

Steady-State Performance Characteristics of Photovoltaic System Coupled with a Centrifugal Water Pump

In this article our objective is to obtain steady state characteristics of shunt, series, and separately excited DC motors coupled with a centrifugal water pump supplied through a step-up, step-down, and cuk converter from photovoltaic generator. We assume that there are no storage batteries and, of course, the system must operate on maximum utilization i.e. maximum water must be pumped. It is ...