Analysis of a model representing stage-structured population growth with state-dependent time delay
SIAM Journal on Applied Mathematics
Analysis of a delayed two-stage population model with space-limited recruitment
SIAM Journal on Applied Mathematics
Extinction and permanence in competitive stage structured system with time-delays
Nonlinear Analysis: Theory, Methods & Applications
Modelling and analysis of a single-species system with stage structure and harvesting
Mathematical and Computer Modelling: An International Journal
Recent progress on stage-structured population dynamics
Mathematical and Computer Modelling: An International Journal
Analysis of a periodic bacteria-immunity model with delayed quorum sensing
Computers & Mathematics with Applications
A nonautonomous predator-prey system with stage structure and double time delays
Journal of Computational and Applied Mathematics
Journal of Computational and Applied Mathematics
Hi-index | 7.29 |
A nonautonomous Lotka-Volterra type predator-prey model with stage structure and time delays is investigated. It is assumed in the model that the individuals in each species may belong to one of two classes: the immatures and the matures, the age to maturity is presented by a time delay, and that the immature predators do not feed on prey and do not have the ability to reproduce. By some comparison arguments we first discuss the permanence of the model. By using the continuation theorem of coincidence degree theory, sufficient conditions are derived for the existence of positive periodic solutions to the model. By means of a suitable Lyapunov functional, sufficient conditions are obtained for the uniqueness and global stability of the positive periodic solutions to the model.