Permanence and Extinction of a Diffusive Predator–Prey Model with Robin Boundary Conditions

, &
Acta Biotheoretica 66 (4):367-378 (2018)
  Copy   BIBTEX

Abstract

The main concern of this paper is to study the dynamic of a predator–prey system with diffusion. It incorporates the Holling-type-II and a modified Leslie–Gower functional responses under Robin boundary conditions. More concretely, we study the dissipativeness of the system by using the comparison principle, and we derive a criteria for permanence and for predator extinction.

Categories

Keywords

Reprint years

DOI

10.1007/s10441-018-9332-0

Links

PhilArchive



    Upload a copy of this work     Papers currently archived: 91,386

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Stabilizing Effect of Cannibalism in a Two Stages Population Model.Jonathan Rault, Eric Benoît & Jean-Luc Gouzé - 2013 - Acta Biotheoretica 61 (1):119-139.
Biological Conservation of a Prey–Predator System Incorporating Constant Prey Refuge Through Provision of Alternative Food to Predators: A Theoretical Study.Kunal Chakraborty & Sankha Subhra Das - 2014 - Acta Biotheoretica 62 (2):183-205.
The effect of prey refuge and time delay on a diffusive predator-prey system with hyperbolic mortality.Ruizhi Yang & Chunrui Zhang - 2016 - Complexity 21 (S1):446-459.
Stability and Hopf bifurcation of a diffusive predator-prey model with hyperbolic mortality.Muniyagounder Sambath, Krishnan Balachandran & Murugan Suvinthra - 2016 - Complexity 21 (S1):34-43.
Effects of density dependent migrations on the dynamics of a predator prey model.Rachid Mchich, Amal Bergam & Nadia Raïssi - 2005 - Acta Biotheoretica 53 (4):331-340.
Bifurcation analysis of an agent-based model for predator-prey interactions.C. Colon, D. Claessen & M. Ghil - unknown
A learning strategy for predator preying on edible and inedible prey.A. Tsoularis - 2007 - Acta Biotheoretica 55 (3):283-295.
Dynamical analysis of a delayed singular prey–predator economic model with stochastic fluctuations.Yue Zhang & Qingling Zhang - 2014 - Complexity 19 (5):23-29.
Modeling causal structures: Volterra’s struggle and Darwin’s success.Raphael Scholl & Tim Räz - 2013 - European Journal for Philosophy of Science 3 (1):115-132.
A predator-prey model of guerrilla warfare.Michael D. Intriligator & Dagobert L. Brito - 1988 - Synthese 76 (2):235 - 244.
Effects of vole fluctuations on the population dynamics of the barn owl tyto Alba.Chris Klok & Andre M. de Roos - 2007 - Acta Biotheoretica 55 (3):227-241.
Adaptive Evolution of Defense Ability Leads to Diversification of Prey Species.Jian Zu, Jinliang Wang & Jianqiang Du - 2014 - Acta Biotheoretica 62 (2):207-234.
Prime number selection of cycles in a predator‐prey model.Eric Goles, Oliver Schulz & Mario Markus - 2001 - Complexity 6 (4):33-38.
Scientific Models.Stephan Hartmann & Roman Frigg - 2005 - In Sarkar Sahotra (ed.), The Philosophy of Science: An Encyclopedia, Vol. 2. Routledge.
A Theoretical Approach on Controlling Agricultural Pest by Biological Controls.Prasanta Kumar Mondal, Soovoojeet Jana & T. K. Kar - 2014 - Acta Biotheoretica 62 (1):47-67.

Analytics

Added to PP
2018-05-29

Downloads
33 (#472,429)

6 months
3 (#992,474)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Citations of this work

No citations found.

Add more citations

References found in this work

No references found.

Add more references