Now showing items 1-6 of 6
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 ...
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 ...
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. ...
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 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 ...