RT info:eu-repo/semantics/article
T1 Asymptotic Behaviour for a Class of Non-monotone Delay Differential Systems with Applications
A1 Faria, Teresa
A1 Obaya, Rafael
A1 Sanz Gil, Ana María
AB The paper concerns a class of n-dimensional non-autonomous delay differential equations obtained by adding a non-monotone delayed perturbation to a linear homogeneous cooperative system of ordinary differential equations. This family covers a wide set of models used in structured population dynamics. By exploiting the stability and the monotone character of the linear ODE, we establish sufficient conditions for both the extinction of all the populations and the permanence of the system. In the case of DDEs with autonomous coefficients (but possible time-varying delays), sharp results are obtained, even in the case of a reducible community matrix. As a sub-product, our results improve some criteria for autonomous systems published in recent literature. As an important illustration, the extinction, persistence and permanence of a non-autonomous Nicholson system with patch structure and multiple time-dependent delays are analysed.
PB Springer
SN 1040-7294
YR 2017
FD 2017
LK http://uvadoc.uva.es/handle/10324/25761
UL http://uvadoc.uva.es/handle/10324/25761
LA eng
NO Journal of Dynamics and Differential Equations (2017)
DS UVaDOC
RD 18-nov-2024