Analysis of a model representing stage-structured population growth with state-dependent time delay
SIAM Journal on Applied Mathematics
The qualitative analysis of n-species Lotka-Volterra periodic competition systems
Mathematical and Computer Modelling: An International Journal
Permanence of periodic Holling type-IV predator-prey system with stage structure for prey
Mathematical and Computer Modelling: An International Journal
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This paper considers a periodic predator-prey system where the prey has a life history that takes the prey through two stages: immature and mature. We provide a sufficient and necessary condition to guarantee permanence of the system. It is shown that the system is permanent if and only if the growth of the predator by foraging the prey minus its death rate is positive on average during the period.