Results 41 to 50 of about 1,832 (165)

Mathematical Models for Population Dynamics: Randomness versus Determinism

open access: yes, 2020
. Mathematical models are used more and more frequently in Life Sciences. These may be deterministic, or stochastic. We present some classical models for population dynamics and discuss in particular the averaging effect in the setting of large ...
J. Bertoin
semanticscholar   +1 more source

Species survival versus eigenvalues

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 2, Page 115-131, 2004., 2004
Mathematical models describing the behavior of hypothetical species in spatially heterogeneous environments are discussed and analyzed using the fibering method devised and developed by S. I. Pohozaev.
Luiz Antonio Ribeiro de Santana   +2 more
wiley   +1 more source

Logistic equation with the p‐Laplacian and constant yield harvesting

open access: yesAbstract and Applied Analysis, Volume 2004, Issue 9, Page 723-727, 2004., 2004
We consider the positive solutions of a quasilinear elliptic equation with p‐Laplacian, logistic‐type growth rate function, and a constant yield harvesting. We use sub‐super‐solution methods to prove the existence of a maximal positive solution when the harvesting rate is under a certain positive constant.
Shobha Oruganti   +2 more
wiley   +1 more source

Impact of disease on a two-patch eco-epidemic model in presence of prey dispersal

open access: yesComputational and Mathematical Biophysics, 2022
The present model is dealt with prey-predator interactions in two different patches where only prey species are allowed to disperse among the patches.
Saha Sangeeta, Samanta Guruprasad
doaj   +1 more source

Global regularity of two-dimensional flocking hydrodynamics [PDF]

open access: yes, 2017
We study the systems of Euler equations which arise from agent-based dynamics driven by velocity \emph{alignment}. It is known that smooth solutions of such systems must flock, namely -- the large time behavior of the velocity field approaches a limiting
He, Siming, Tadmor, Eitan
core   +3 more sources

Flip and Hopf Bifurcations of Discrete-Time Fitzhugh-Nagumo Model

open access: yesOpen Journal of Mathematical Sciences, 2018
In this paper, dynamics of a two-dimensional Fitzhugh-Nagumo model is discussed. The discrete-time model is obtained with the implementation of forward Euler’s scheme.
Qamar Din, S. Khaliq
semanticscholar   +1 more source

Analysis of an age‐dependent SI epidemic model with disease‐induced mortality and proportionate mixing assumption: the case of vertically transmitted diseases

open access: yesJournal of Applied Mathematics, Volume 2004, Issue 3, Page 235-254, 2004., 2004
An SI epidemic model for a vertically as well as horizontally transmitted disease is investigated when the fertility, natural mortality, and disease‐induced mortality rates depend on age and the force of infection corresponds to a special form of intercohort transmission called proportionate mixing.
M. El-Doma
wiley   +1 more source

Dynamics of an eco-epidemic model with Allee effect in prey and disease in predator

open access: yesComputational and Mathematical Biophysics, 2023
In this work, the dynamics of a food chain model with disease in the predator and the Allee effect in the prey have been investigated. The model also incorporates a Holling type-III functional response, accounting for both disease transmission and ...
Kumar Bipin, Sinha Rajesh Kumar
doaj   +1 more source

A two-strain ecoepidemic competition model

open access: yes, 2014
In this paper we consider a competition system in which two diseases spread by contact. We characterize the system behavior, establishing that only some configurations are possible.
Cavoretto, Roberto   +3 more
core   +1 more source

Semigroup analysis of structured parasite populations [PDF]

open access: yes, 2009
Motivated by structured parasite populations in aquaculture we consider a class of size-structured population models, where individuals may be recruited into the population with distributed states at birth.
Borges   +15 more
core   +2 more sources

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