Now showing items 1-9 of 9
Existence of Periodic Solutions in the Modified Wheldon Model of CML
(Department of Mathematics, Texas State University, 2013)
The Wheldon model (1975) of a chronic myelogenous leukemia (CML) dynamics is modified and enriched by introduction of a time-varying microenvironment and time-dependent drug efficacies. The resulting model is a special ...
Stability of a Time-Varying Fishing Model with Delay [pre-print]
We introduce a delay differential equation model which describes how fish are harvested (see Abstract Equation Image). In our previous studies we investigated the persistence of the equation and existence of a periodic ...
Periodic Solutions of Nonautonomous Mackey-type Systems with Delays [pre-print]
(Mathematical Research Publishers, 2013)
Nonautonomous systems of delay differential equations, that model classical Mackey-type hematopoietic stem cell dynamics and Mackey-type circuit systems, are under study. Explicit sufficient and necessary conditions for ...
Nicholson's Blowflies Differential Equations Revisited: Main Results and Open Problems [post-print]
This review covers permanence, oscillation, local and global stability of solutions for Nicholson’s blowflies differential equation. Some generalizations, including the most recent results for equations with a distributed ...
Stability Tests for Second Order Linear and Nonlinear Delayed Models [pre-print]
For the nonlinear second order Lienard-type equations with time-varying delays (see abstract equation image) global asymptotic stability conditions are obtained. The results are based on the new sufficient stability ...
New Global Exponential Stability Criteria for Nonlinear Delay Differential Systems with Applications to BAM Neural Networks [pre-print]
We consider a nonlinear non-autonomous system with time-varying delays (see abstract equation image) which has a large number of applications in the theory of artificial neural networks. Via the M-matrix method, easily ...
Stabilization of Second Order Nonlinear Equations with Variable Delay [pre-print]
(Taylor & Francis Group, 2015)
For a wide class of second-order nonlinear non-autonomous models, we illustrate that combining proportional state control with the feedback that is proportional to the derivative of the chaotic signal allows to stabilise ...
Oscillation and Asymptotic Stability of a Delay Differential Equation with Richard's Nonlinearity
(Department of Mathematics, Texas State University, 2005)
Mackey-Glass Model of Respiratory Dynamics: Review and New Results [pre-print]
Since the celebrated Mackey-Glass model of respiratory dynamics was introduced in 1977, many results on its qualitative behavior have been obtained, including oscillation, stability and chaos. The paper reviews some known ...