A branching method for studying stability of a solution to a delay differential equation.
A class of singularly perturbed evolution systems.
A criterion for the global attractivity of scalar population models with delay.
A delayed mathematical model for testosterone secretion with feedback control mechanism.
A differential equation model of HIV infection of CD4 T-cells with delay.
A general framework for stability analysis of gene regulatory networks with delay.
A mathematical model describing the thyroid-pituitary axis with time delays in hormone transportation
In the present paper, a mathematical model, originally proposed by Danziger and Elmergreen and describing the thyroid-pituitary homeostatic mechanism, is modified and analyzed for its physiological and clinical significance. The influence of different system parameters on the stability behavior of the system is discussed. The transportation delays of different hormones in the bloodstream, both in the discrete and distributed forms, are considered. Delayed models are analyzed regarding the stability...
A note on asymptotic stability of delay difference systems.
A predator-prey Gompertz model with time delay and impulsive perturbations on the prey.
A prey-predator model with an alternative food for the predator, harvesting of both the species and with a gestation period for interaction.
A Team Approach to Undergraduate Research in Biomathematics: Balance Control
The question, how does an organism maintain balance? provides a unifying theme to introduce undergraduate students to the use of mathematics and modeling techniques in biological research. The availability of inexpensive high speed motion capture cameras makes it possible to collect the precise and reliable data that facilitates the development of relevant mathematical models. An in–house laboratory component ensures that students have the opportunity...
About robust stability of Caputo linear fractional dynamic systems with time delays through fixed point theory.
About robust stability of dynamic systems with time delays through fixed point theory.
Absolute stability of nonlinear systems with time delays and applications to neural networks.
Addendum to asymptotic stability in differential equations with unbounded delay.
Advances in UAS for functional differential equations.
Almost periodic solution of a diffusive mixed system with time delay and type III functional response.
Almost periodic solutions for higher-order Hopfield neural networks without bounded activation functions.
Almost periodic solutions of a discrete mutualism model with feedback controls.
Almost sure exponential stability of delayed cellular neural networks.