Now showing items 11-17 of 17
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 ...
Exponential stability of some scalar impulsive delay differential equation
(Dynamic Publishers, 1998)
Oscillation and asymptotic stability of a delay differential equation with Richard's nonlinearity
(Department of Mathematics, Texas State University, 2005)
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 ...
Stability of high-order linear Itô equations with delays
(Scientific Research Publishing, 2018-03-29)
A novel general stability analysis scheme based on a non-Lyapunov framework is explored. Several easy-to-check sufficient conditions for exponential p-stability are formulated in terms of M-matrices. Stability analysis ...
[Post-print] New applications of M-matrix to stability of high-order linear delayed equations
A substitution is introduced which exploits the parameters of the high-order delayed linear non-autonomous models and consequently allows the use of the M-matrix methods for the stability analysis. To demonstrate the ...
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 ...