[PDF][PDF] Hopf bifurcation exploration and control technique in a predator-prey system incorporating delay
Recently, delayed dynamical model has witnessed a great interest from many scholars in
biological and mathematical areas due to its potential application in describing the …
biological and mathematical areas due to its potential application in describing the …
Spatio-temporal pattern selection in a prey–predator model with hunting cooperation and Allee effect in prey
R Han, S Dey, M Banerjee - Chaos, Solitons & Fractals, 2023 - Elsevier
In this work, we have studied the temporal as well as spatio-temporal dynamics of a prey–
predator model with additive Allee effect in prey growth and hunting cooperation among the …
predator model with additive Allee effect in prey growth and hunting cooperation among the …
Bistability in modified Holling II response model with harvesting and Allee effect: Exploring transitions in a noisy environment
Here, we explore the complex dynamics of a predator–prey system with a modified Holling
type II functional response and the Allee effect that accounts for a reduced hunting efficiency …
type II functional response and the Allee effect that accounts for a reduced hunting efficiency …
Hopf bifurcation and control for the bioeconomic predator–prey model with square root functional response and nonlinear prey harvesting
H Guo, J Han, G Zhang - Mathematics, 2023 - mdpi.com
In this essay, we introduce a bioeconomic predator–prey model which incorporates the
square root functional response and nonlinear prey harvesting. Due to the introduction of …
square root functional response and nonlinear prey harvesting. Due to the introduction of …
Maturation delay induced stability enhancement and shift of bifurcation thresholds in a predator–prey model with generalist predator
Discrete time delay has been widely used in models of interacting populations to capture
various biological processes such as gestation, maturation, food digestion, disease …
various biological processes such as gestation, maturation, food digestion, disease …
Global stability of a predator–prey model with generalist predator
J Roy, M Banerjee - Applied Mathematics Letters, 2023 - Elsevier
Proof of the global stability for unique locally stable coexistence equilibrium points with the
help of a suitable Lyapunov function is an interesting research problem for predator–prey …
help of a suitable Lyapunov function is an interesting research problem for predator–prey …
Computer simulation of the nonhomogeneous zebra pattern formation using a mathematical model with space-dependent parameters
J Yang, J Kim - Chaos, Solitons & Fractals, 2023 - Elsevier
In this study, we present a mathematical model with space-dependent parameters and
appropriate boundary conditions which can simulate the realistic nonhomogeneous zebra …
appropriate boundary conditions which can simulate the realistic nonhomogeneous zebra …
Analytical detection of stationary and dynamic patterns in a prey–predator model with reproductive Allee effect in prey growth
Allee effect in population dynamics has a major impact in suppressing the paradox of
enrichment through global bifurcation, and it can generate highly complex dynamics. The …
enrichment through global bifurcation, and it can generate highly complex dynamics. The …
Spatio-temporal dynamics of an SIS model with nonlinear incidence and nonlocal disease transmission
Investigation of the spatio-temporal patterns exhibited by infected communities sharing the
same spatial region is the focus of many researchers. Typically, an individual's susceptibility …
same spatial region is the focus of many researchers. Typically, an individual's susceptibility …
Spatially heterogeneous eco-epidemic model: Stabilizing role of non-local disease transmission
Interaction between prey and predator in the presence of an infectious pathogen is the main
focus of this article. A non-local transmission, that encompasses the possibility of acquiring …
focus of this article. A non-local transmission, that encompasses the possibility of acquiring …