Dynamic behaviors of a Lotka-Volterra commensal symbiosis model with density dependent birth rate

DOI10.1186/s13662-018-1758-9zbMath1448.92182OpenAlexW2889182192WikidataQ129318356 ScholiaQ129318356MaRDI QIDQ1713544

Xiangdong Xie, Qifa Lin, Yalong Xue, Fengde Chen

Publication date: 25 January 2019

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-018-1758-9

zbMATH Keywords

global stabilitydensity dependent birth ratecommensalism model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25)

Related Items

Global stability and Hopf bifurcation of a delayed cooperative species model with density-dependent diffusion, The influence of commensalism on a Lotka-Volterra commensal symbiosis model with Michaelis-Menten type harvesting, Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate, Dynamic of a nonautonomous two-species impulsive competitive system with infinite delays, Extinction of a two species competitive stage-structured system with the effect of toxic substance and harvesting, New model of may cooperative system with strong and weak cooperative partners, Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect, Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response, Dynamic behaviors of a Lotka-Volterra type predator-prey system with Allee effect on the predator species and density dependent birth rate on the prey species

Cites Work

• Unnamed Item
• Unnamed Item
• Permanence of a discrete nonlinear \(N\)-species cooperation system with time delays and feedback controls
• Extinction in two species nonautonomous nonlinear competitive system
• On a mutualism model with feedback controls
• Influence of single feedback control variable on an autonomous Holling-II type cooperative system
• Permanence of a delayed discrete mutualism model with feedback controls
• Nicholson's blowflies differential equations revisited: main results and open problems
• Feedback control variables have no influence on the permanence of a discrete \(N\)-species cooperation system
• Density-dependent birth rate, birth pulses and their population dynamic consequences
• Permanence and global attractivity of a discrete pollination mutualism in plant-pollinator system with feedback controls
• Global attractivity of a discrete cooperative system incorporating harvesting
• Dynamic behaviors of an obligate Gilpin-Ayala system
• Permanence and global stability of a may cooperative system with strong and weak cooperative partners
• Allee effect increasing the final density of the species subject to the Allee effect in a Lotka-Volterra commensal symbiosis model
• Dynamic behaviors of a discrete periodic predator-prey-mutualist system
• Almost periodic solution of a discrete commensalism system
• Global stability of a discrete mutualism model
• Global attractivity of an integrodifferential model of mutualism
• Global stability of may cooperative system with feedback controls
• Note on the stability property of a cooperative system incorporating harvesting