Fluctuations in the Abundance of a Species considered Mathematically

  title={Fluctuations in the Abundance of a Species considered Mathematically},
  author={Vito Volterra},
A CONSIDERATION of biological associations, or of the mutual interactions between two or more species associated together, has led me to certain mathematical results which may be set forth as follows. 

Population-level consequences of spatial interactions

How is the nature of populations governed by the movement decisions made by their members? This is the core question in this thesis. To answer this question, I first assume that s movement decision

Complex Dynamics in a Minimal Model of Protection-Based Mutualism

It is shown that intraspecies interactions are crucial for closing trophic levels and stabilizing the dynamic system from potential “chaotic” behavior and oscillatory, complex, and chaotic dynamic behavior.

Predator–prey models: an application for the plankton dynamics of lake Geneva

In this paper we present a hierarchical Bayesian analysis for a predator–prey model applied to ecology considering the use of Markov Chain Monte Carlo methods. We consider the introduction of a

Interacting Populations: Competition, Predation, and Parasitoids

  • Biology
  • 2007
This chapter considers another potential source of complex dynamics: interactions between different species, and examines a series of models for different kinds of interactions, along the way learning the techniques for dealing with multi-species models.

Mathematical Modelling of the Population Dynamics of Two- Prey and One- Predator Systems at the Human-Livestock-Wildlife Interface

Understanding the population dynamics at the human-livestock-wildlife interface is key to managing zoonotic and cross-species diseases as well as maintaining ecosystem biodiversity at this interface.


National Natural Science Foundation of China [10601042]; Fundamental Research Funds the Central Universities [HIT.NSRIF.2010052]

A New Kind of Ecology?

The past uses of CA models in ecology are reviewed, the relative utility of using traditional models versus CA models to understand ecological communities are discussed and the increased application of cellular automata models in all areas of scientific inquiry is called for.

Temporal changes in spatial patterns of moose browse, causes and consequences

University of Minnesota Ph.D. dissertation. March 2010. Major: Ecology, Evolution and Behavior. Advisor: Dr. John Pastor. 1 computer file (PDF); xii, 156 pages.

Invasion waves for a diffusive predator–prey model with two preys and one predator

In this paper, we study the existence of invasion waves of a diffusive predator–prey model with two preys and one predator. The existence of traveling semi-fronts connecting invasion-free equilibri...