We present a survey of new approaches to the investigation of the global dynamics of
discrete dynamical systems or autonomous difference equations. To achieve our objectives …

This paper studies the dynamics of a class of host-parasitoid models with host refuge and
the strong Allee effect upon the host population. Without the parasitoid population, the …

Relationships between difference and differential equations are examined, to understand
why the applications of the first to problems of real life, are not as well developed as the …

Positive density-dependence occurs when individuals experience increased survivorship,
growth, or reproduction with increased population densities. Mechanisms leading to these …

This paper studies the dynamics of a class of host-parasitoid models with host refuge and
the strong Allee effect upon the host population. Without the parasitoid population, the …