Stability and bifurcation analysis of a commensal model with additive Allee effect and nonlinear growth rate

Z Wei, Y Xia, T Zhang - International Journal of Bifurcation and …, 2021 - World Scientific
In this paper, a commensal model with additive Allee effect on the first species and nonlinear
growth rate on the second species is proposed. The classification, type and stability of all …

Dynamic behaviors of a stage structure amensalism system with a cover for the first species

C Lei - Advances in Difference Equations, 2018 - Springer
In this paper, we propose and study a two-species stage structured amensalism model with
a cover for the first species. By developing a new analysis technique or, more precisely, by …

The influence of commensalism on a Lotka–Volterra commensal symbiosis model with Michaelis–Menten type harvesting

B Chen - Advances in Difference Equations, 2019 - Springer
In this paper, we study the following Lotka–Volterra commensal symbiosis model of two
populations with Michaelis–Menten type harvesting for the first species: dxdt= r 1 x (1− x K …

Stability and Hopf bifurcation analysis for a two-species commensalism system with delay

T Li, Q Wang - Qualitative Theory of Dynamical Systems, 2021 - Springer
This paper is devoted to studying the dynamics of a two-species commensalism system with
delay. By analyzing the characteristic equation and regarding the time delay as the …

Stability and bifurcation analysis of two species amensalism model with Michaelis–Menten type harvesting and a cover for the first species

Y Liu, L Zhao, X Huang, H Deng - Advances in Difference Equations, 2018 - Springer
In this paper, a two species amensalism model with Michaelis–Menten type harvesting and
a cover for the first species that takes the form dx (t) dt= a 1 x (t)− b 1 x 2 (t)− c 1 (1− k) x (t) y …

[PDF][PDF] Global stability of a commensal symbiosis model with Holling II functional response and feedback controls

F Chen, Y Chong, S Lin - Wseas Trans. Syst. Contr, 2022 - wseas.com
A commensal symbiosis model with Holling II functional response and feedback controls is
proposed and studied in this paper. The system admits four equilibria, and three boundary …

[PDF][PDF] Permanence of a delayed biological system with stage structure and density-dependent juvenile birth rate

Q Yue - Engineering Letters, 2019 - engineeringletters.com
A delayed biological system with stage structure and density-dependent juvenile birth rate is
revisited in this paper. By establishing a new lemma and using the comparison theorem of …

[PDF][PDF] The Dynamic Behaviors of Nonselective Harvesting Lotka-Volterra Predator-Prey System With Partial Closure for Populations and the Fear Effect of the Prey …

X Li, Q Yue, F Chen - IAENG International Journal of Applied …, 2023 - researchgate.net
This paper proposes and investigates a nonselective harvesting Lotka-Volterra predator-
prey system that incorporates population closure and the fear effect of the prey. The …

Stability and bifurcation analysis in a single-species stage structure system with Michaelis–Menten-type harvesting

X Yu, Z Zhu, L Lai, F Chen - Advances in Difference Equations, 2020 - Springer
In this paper, we prpose a single-species stage structure model with Michaelis–Menten-type
harvesting for mature population. We investigate the existence of all possible equilibria of …

Impact of Michaelis–Menten type harvesting in a Lotka–Volterra predator–prey system incorporating fear effect

L Lai, X Yu, M He, Z Li - Advances in Difference Equations, 2020 - Springer
We propose and study a Lotka–Volterra predator–prey system incorporating both Michaelis–
Menten-type prey harvesting and fear effect. By qualitative analysis of the eigenvalues of the …