What drives the stability, or instability, of complex ecosystems? This question sits at the heart
of community ecology and has motivated a large body of theoretical work exploring how …

This paper studies the asymptotoc behavior of a predator-prey model with stage structure. It
is found that an orbitally asymptotically stable periodic orbit exists in that model. When time …

We consider a predator–prey system with one or two delays and a unique positive
equilibrium E∗. Its dynamics are studied in terms of the local stability of E∗ and of the …

The dynamics of delayed systems depend not only on the parameters describing the models
but also on the time delays from the feedback. A delay system is absolutely stable if it is …

We consider a delayed predator–prey system. We first consider the existence of local Hopf
bifurcations, and then derive explicit formulas which enable us to determine the stability and …

In this survey, we briefly review some of our recent studies on predator-prey models with
discrete delay. We first study the distribution of zeros of a second degree transcendental …

State-of-the-art in qualitative theory of functional differential equations; Most of the new
material has never appeared in book form and some not even in papers; Second edition …

In this paper, a predator–prey system with a discrete delay and a distributed delay is
investigated. We first consider the stability of the positive equilibrium and the existence of …

The complex dynamics is explored in a prey predator system with multiple delays. Holling
type-II functional response is assumed for prey dynamics. The predator dynamics is …

In the work we proposed the model of immunosensor, which is based on the system of lattice
differential equations with delay. The conditions of local asymptotic stability for endemic …