Dynamical morphology of the brain's ventricular cavities in hydrocephalus.
Dynamical properties of a delay prey-predator model with disease in the prey species only.
Dynamical system and nonlinear regression for estimate host-parasitoid relationship.
Dynamical systems analysis of a five-dimensional trophic food web model in the southern oceans.
Dynamical Systems for Rational Normal Curves.
Dynamics and patterns of an activator-inhibitor model with cubic polynomial source
The dynamics of an activator-inhibitor model with general cubic polynomial source is investigated. Without diffusion, we consider the existence, stability and bifurcations of equilibria by both eigenvalue analysis and numerical methods. For the reaction-diffusion system, a Lyapunov functional is proposed to declare the global stability of constant steady states, moreover, the condition related to the activator source leading to Turing instability is obtained in the paper. In addition, taking the...
Dynamics and thresholds of a simple epidemiological model: example of HIV/AIDS in mali.
Dynamics behaviors of a discrete ratio-dependent predator-prey system with Holling type III functional response and feedback controls.
Dynamics for a discrete competition and cooperation model of two enterprises with multiple delays and feedback controls
This paper is concerned with a competition and cooperation model of two enterprises with multiple delays and feedback controls. With the aid of the difference inequality theory, we have obtained some sufficient conditions which guarantee the permanence of the model. Under a suitable condition, we prove that the system has global stable periodic solution. The paper ends with brief conclusions.
Dynamics in a discrete predator-prey system with infected prey
In this paper, a discrete version of continuous non-autonomous predator-prey model with infected prey is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and the method of Lyapunov function, some sufficient conditions for the existence and global asymptotical stability of positive periodic solution of difference equations in consideration are established. An example shows the feasibility of the main results.
Dynamics of a nonautonomous Leslie-Gower type food chain model with delays.
Dynamics of a nonautonomous semiratio-dependent predator-prey system with nonmonotonic functional responses.
Dynamics of a predator-prey system concerning biological and chemical controls.
Dynamics of a stage structure pest control model with impulsive effects at different fixed time.
Dynamics of a two sex population with gestation period
We investigate a mathematical model of population dynamics for a population of two sexes (male and female) in which new individuals are conceived in a process of mating between individuals of opposed sexes and their appearance is postponed by a period of gestation. The model is a system of two partial differential equations with delay which are additionally coupled by mathematically complicated boundary conditions. We show that this model has a global solution. We also analyze stationary ('permanent')...
Dynamics of Biomembranes: Effect of the Bulk Fluid
We derive a biomembrane model consisting of a fluid enclosed by a lipid membrane. The membrane is characterized by its Canham-Helfrich energy (Willmore energy with area constraint) and acts as a boundary force on the Navier-Stokes system modeling an incompressible fluid. We give a concise description of the model and of the associated numerical scheme. We provide numerical simulations with emphasis on the comparisons between different types of flow:...
Dynamics of Cohen-Grossberg neural networks with mixed delays and impulses.
Dynamics of Erythroid Progenitors and Erythroleukemia
The paper is devoted to mathematical modelling of erythropoiesis, production of red blood cells in the bone marrow. We discuss intra-cellular regulatory networks which determine self-renewal and differentiation of erythroid progenitors. In the case of excessive self-renewal, immature cells can fill the bone marrow resulting in the development of leukemia. We introduce a parameter characterizing the strength of mutation. Depending on its value, leukemia will or will not develop. The simplest...
Dynamics of growth and signaling along linear and surface structures in very early tumors.
Dynamics of icosahedral viruses: what does viral tiling theory teach us?