Difference equations usually describe the evolution of certain phenomena over the course of
time. For example, if a certain population has discrete generations, the size of the (n+ 1) st …

In this paper, we introduce a new class of nonlinear discrete fractional equations to model
tumor growth rates in mice. For the data fitting purpose, we develop a new method which …

The Gompertz function is one of the most widely used models in the description of growth
processes in many different fields. We obtain a networked version of the Gompertz function …

The size and shape of organs is species specific, and even in species in which organ size is
strongly influenced by environmental cues, such as nutrition or temperature, it follows …

We give conditions for local and global stability of discrete one-dimensional population
models. We give a new test for local stability when the derivative is− 1. We give several …

Reproductive performance is an important factor affecting the profitability of dairy farms.
Optimal fertility results are often confined by the time-consuming nature of classical heat …

Some of the simplest models of population growth are one dimensional nonlinear difference
equations. While such models can display wild behavior including chaos, the standard …

This paper investigates the role played by cooperation for the sustainable harvesting of an
ecosystem. To achieve this, a bio-economic model based on a multi-species dynamics with …

A necessary and sufficient condition for the global stability of a large class of discrete
population models is provided which does not require the construction of a Liapunov …

This book describes how prior knowledge about dynamical systems and functions can be
integrated in mathematical modelling. The first part comprises the transformation of the …