The decline of species in natural habitats concerns ecologists, who view extinction as a
danger and conservation of biological diversity as a goal. In contrast, the proliferation of …

This paper explores the relations between persistence and dynamics in measles epidemics.
Most current models, including the stochastic seasonally forced and age-structured models …

Population cycles that persist in time and are synchronized over space pervade ecological
systems, but their underlying causes remain a long-standing enigma,,,,,,,,,,. Here we …

Under equilibrium conditions, previous theory has shown that the presence of omnivory
destabilizes food webs. Correspondingly, omnivory ought to be rare in real food webs …

A principal aim of current conservation policy is to reduce the impact of habitat
fragmentation. Conservation corridors may achieve this goal by facilitating movement …

Discrete time single species models with overcompensating density dependence and an
Allee effect due to predator satiation and mating limitation are investigated. The models …

Ecologists increasingly recognize that a consideration of spatial dynamics is essential for
resolving many classical problems in community ecology. In the present paper, I argue that …

MATHEMATICAL ECOLOGY Population ecologists study how births and deaths affect the
dynamics of populations and communities, while ecosystem ecologists study how species …

The DC-DC buck power converter, a widely used chopper circuit, exhibits subharmonics and
chaos if current feedback is used. This paper investigates the dependence of the system …

The control and management of chaotic population is one of the main objectives for
constructing mathematical model in ecology today. In this paper, we apply a technique of …