The dynamic relationship between predator and its prey has long been and will continue to be one of the dominant themes in both ecology and mathematical ecology due to its universal existence and importance. The traditional predator-prey models have been studied extensively e.g., see 1–10 and references cited therein , but they are questioned by several biologists. Thus, the Lotka-Volterra type...

and Applied Analysis 3 Under A1 , let u u − u∗, v v − v∗ and drop the bars for simplicity of notations, then 1.1 can be transformed into the following equivalent system: ut d1Δu t, x u u∗ 1 − u t − τ, x u∗ − s u u ∗ v v∗ m u u∗ n v v∗ , vt d2Δv t, x r u u∗ v v∗ m u u∗ n v v∗ − d v v∗ . 2.2 Let P u, v uv/ m u nv . By u∗ 1 − u∗ − su∗v∗/ m u∗ nv∗ 0 and −dv∗ ru∗v∗/ m u∗ nv∗ 0 2.2 becomes ut d1Δu t,...

Joseph R Delaney, Svenja Stöven, Hanna Uvell, Kathryn V Anderson, Ylva Engström and Marek Mlodzik* Brookdale Department of Developmental, Cell and Molecular Biology and Department of Oncological Sciences, The Mount Sinai School of Medicine, New York, NY, USA, Umeå Center for Molecular Pathogenesis, Umeå University, Umeå, Sweden, Department of Molecular Biology and Functional Genomics, Stockholm...

Microbial communities are the basis for engineered environmental bioprocesses. However, current methods, including 16S rDNA-based techniques, are incapable of providing information on the function of the community or its members, and thus the community remains a black box from a functional perspective. Microbial community proteomics has the potential to detect proteins expressed in an environme...

We investigate an impulsive predator-prey system with Monod-Haldane type functional response and control strategies, especially, biological and chemical controls. Conditions for the stability of the prey-free positive periodic solution and for the permanence of the system are established via the Floquet theory and comparison theorem. Numerical examples are also illustrated to substantiate mathe...

A model of two species consuming a single, limited, periodically added resource is discussed. The model is based on chemostat-type equations, which differ from the classical models of Lotka and Volterra. The model incorporates nonlinear 'functional response' curves of the Holling or Michaelis-Menten type to describe the dependence of the resource-exploitation rate on the amount of resource. Coe...

Recommended by Leonid Berezansky We propose a discrete predator-prey systems with Beddington-DeAngelis functional response and feedback controls. By applying the comparison theorem of difference equation, sufficient conditions are obtained for the permanence of the system.

Introduction: Few studies are conducted on the efficacy of antispasmodics in the treatment of functional gastrointestinal disorders in children. We evaluated the effectiveness of a smooth-muscle relaxant (mebeverine) in the treatment of childhood functional abdominal pain (FAP).   Materials and Methods: Children (n=115, aged 6-18 years) with FAP were randomized to receive mebeverine 135 mg...