This book provides a systematic, rigorous and self-contained treatment of positive dynamical
systems. A dynamical system is positive when all relevant variables of a system are …

In this paper, we develop several population models with Allee effects. We start by defining
the Allee effect as a phenomenon in which individual fitness increases with increasing …

We give a short proof of the Cushing‐Henson conjecture concerning Beverton‐Holt
difference equation, which is important in theoretical ecology. The main result shows that a …

In this paper, we have derived a discrete evolutionary Beverton–Holt population model. The
model is built using evolutionary game theory methodology and takes into consideration the …

This paper is devoted to the investigation of the positivity, stability and control of the
solutions of a generalized Beverton–Holt equation arising in population dynamics which is …

We show that for a k-periodic difference equation, if a periodic orbit of period r is globally
asymptotically stable (GAS), then r must be a divisor of k. Moreover, if r divides k we …

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This paper is devoted to develop some “ad hoc” Control Theory formalism useful for the
famous Beverton–Holt equation arising in population dynamics. In particular, the inverse …

We establish the basic theory of almost periodic sequences on ℤ+. Dichotomy techniques
are then utilized to find sufficient conditions for the existence of a globally attracting almost …