Displaying similar documents to “Competitive Exclusion in a Discrete Stage-Structured Two Species Model”

Memory Effects in Population Dynamics : Spread of Infectious Disease as a Case Study

A. Pimenov, T.C. Kelly, A. Korobeinikov, M.J.A. O’Callaghan, A.V. Pokrovskii, D. Rachinskii (2012)

Mathematical Modelling of Natural Phenomena

Similarity:

Modification of behaviour in response to changes in the environment or ambient conditions, based on memory, is typical of the human and, possibly, many animal species.One obvious example of such adaptivity is, for instance, switching to a safer behaviour when in danger, from either a predator or an infectious disease. In human society such switching to safe behaviour is particularly apparent during epidemics. Mathematically, such changes...

Feeding Threshold for Predators Stabilizes Predator-Prey Systems

D. Bontje, B. W. Kooi, G. A.K. van Voorn, S.A.L.M Kooijman (2009)

Mathematical Modelling of Natural Phenomena

Similarity:

Since Rosenzweig showed the destabilisation of exploited ecosystems, the so called , several mechanisms have been proposed to resolve this paradox. In this paper we will show that a feeding threshold in the functional response for predators feeding on a prey population stabilizes the system and that there exists a minimum threshold value above which the predator-prey system is unconditionally stable with respect to enrichment. Two models are analysed, the first being the classical Rosenzweig-MacArthur...

Analysis of Synchronization in a Neural Population by a Population Density Approach

A. Garenne, J. Henry, C. O. Tarniceriu (2010)

Mathematical Modelling of Natural Phenomena

Similarity:

In this paper we deal with a model describing the evolution in time of the density of a neural population in a state space, where the state is given by Izhikevich’s two - dimensional single neuron model. The main goal is to mathematically describe the occurrence of a significant phenomenon observed in neurons populations, the . To this end, we are making the transition to phase density population, and use Malkin theorem to calculate...