Seasonal effects on a Beddington-DeAngelis type predator-prey system with impulsive perturbations.
Similarity solutions for high frequency excitation of liquid metal in an antisymmetric magnetic field
The aim of this paper is to investigate, as precisely as possible, a boundary value problem involving a third order ordinary differential equation. Its solutions are the similarity solutions of a problem arising in the study of the phenomenon of high frequency excitation of liquid metal systems in an antisymmetric magnetic field within the framework of boundary layer approximation.
Spread Pattern Formation of H5N1-Avian Influenza and its Implications for Control Strategies
Mechanisms contributing to the spread of avian influenza seem to be well identified, but how their interplay led to the current worldwide spread pattern of H5N1 influenza is still unknown due to the lack of effective global surveillance and relevant data. Here we develop some deterministic models based on the transmission cycle and modes of H5N1 and focusing on the interaction among poultry, wild birds and environment. Some of the model parameters are obtained from existing literatures, and others...
Stability and optimal harvesting of a prey-predator model with stage structure for predator
The dynamics of a prey-predator system, where predator has two stages, a juvenile stage and a mature stage, is modelled by a system of three ordinary differential equations. Stability and permanence of the system are discussed. Furthermore, we consider the harvesting of prey species and obtain the maximum sustainable yield and the optimal harvesting policy.
Stability of a two-strain tuberculosis model with general contact rate.
Stability of periodic solutions in extended Gierer-Meinhardt model.
Stability results for a class of differential equation and application in medicine.
Study of a prey-predator dynamics under the simultaneous effect of toxicant and disease.
Sufficient and necessary condition for the permanence of periodic predator-prey system.