Now showing items 1-10 of 15
Stability Analysis of Periodic Fox Production Models
(Applied Mathematics Institute, University of Alberta, 2006)
In this paper we introduce a nonlinear Fox surplus production model in a periodic environment. The existence and stability of the periodic solutions of nonautonomous nonlinear differential equation (A) are analyzed. ...
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 ...
Mathematical Model of Marine Protected Areas [pre-print]
(Oxford University Press on behalf of the Institute of Mathematics and its Applications, 2011)
We consider two regions with a fish population that is dispersing between the two areas, and fishing takes place only in region 2, with region 1 established as no-fishing zone. Marine protected areas (MPAs) have been ...
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 ...
Exponential Stability of Some Scalar Impulsive Delay Differential Equation
(Dynamic Publishers, 1998)
Bioeconomical Ricker's Model of Marine Protected Areas
(Department of Mathematics, Texas State University, 2012)
Marine protected areas (MPA) become part of modern fishery management to safeguard marine life and sustain ecosystem processes. Based on a classical Ricker's model, the deterministic nonlinear sink-source model of MPA is ...
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 ...