Complete polynomial vector fields in simplexes with application to evolutionary dynamics.
Computation of the topological entropy in chaotic biophysical bursting models for excitable cells.
Could changes in national tuberculosis vaccination policies be ill-informed ?
National policies regarding the BCG vaccine for tuberculosis vary greatly throughout the international community and several countries are currently considering discontinuing universal vaccination. Detractors of BCG point to its uncertain effectiveness and its interference with the detection and treatment of latent tuberculosis infection (LTBI). In order to quantify the trade-off between vaccination and treatment of LTBI, a mathematical model was designed and calibrated to data from Brazil, Ghana,...
Degenerate diffusive SEIR model with logistic population control.
Delay-dependent asymptotic stability for neural networks with time-varying delays.
Delay-dependent asymptotic stability of Cohen-Grossberg models with multiple time-varying delays.
Diffusive instability in a prey-predator system with time-dependent diffusivity.
Doubly periodic traveling waves in a cellular neural network with linear reaction.
Dynamic behaviors of a general discrete nonautonomous system of plankton allelopathy with delays.
Dynamic behaviors of a harvesting Leslie-Gower predator-prey model.
Dynamical analysis of DTNN with impulsive effect.
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.
Dynamics of a nonautonomous Leslie-Gower type food chain model with delays.
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.
Effects of competition and predation in a three species model
A model which consists of a predator and two prey species is presented. The prey compete for the same limited resource (food). The predator preys on both prey species but with different severity. We show that the coexistence of all three species is possible in a mean-field approach, whereas from Monte Carlo simulation it follows that the stochastic fluctuations drive one of the prey populations into extinction.
Existence and global stability of periodic solution for delayed discrete high-order Hopfield-type neural networks.
Generalization of the Kermack-McKendrick SIR Model to a Patchy Environment for a Disease with Latency
In this paper, with the assumptions that an infectious disease has a fixed latent period in a population and the latent individuals of the population may disperse, we reformulate an SIR model for the population living in two patches (cities, towns, or countries etc.), which is a generalization of the classic Kermack-McKendrick SIR model. The model is given by a system of delay differential equations with a fixed delay accounting for the latency and non-local terms caused by the mobility of the...