Now showing items 1-9 of 9
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 ...
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 ...
Stability of Hahnfeldt Angiogenesis Models with Time Lags [post-print]
Mathematical models of angiogenesis, pioneered by Hahnfeldt, are under study. To enrich the dynamics of three models, we introduced biologically motivated time-varying delays. All models under study belong to a special ...
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)
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 ...