Steady-State Bifurcation in Previte-Hoffman Model

Article Mathematical & Computational Biology

Impact of fear on delayed three species food-web model with Holling type-II functional response

S. Magudeeswaran et al.

Summary: This paper investigates a three-species food-web model, analyzing the stability of equilibrium points and the occurrence of bifurcation phenomena, and conducts extensive numerical simulations to validate the analytical findings.

INTERNATIONAL JOURNAL OF BIOMATHEMATICS (2022)

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Article Mathematics, Interdisciplinary Applications

Predator-taxis creates spatial pattern of a predator-prey model

Mengxin Chen et al.

Summary: This paper investigates the spatial pattern formation of a predator-prey model with predator taxis under homogeneous zero-flux boundary conditions. The role of the predator taxis coefficient in the Turing bifurcation is explored, revealing multiple thresholds of the bifurcation. The analysis focuses on the direction of the Turing bifurcation and shows that predator taxis can induce subcritical or supercritical bifurcation. Numerical experiments validate the theoretical analysis and illustrate different spatial patterns with varying predator taxis coefficients.

CHAOS SOLITONS & FRACTALS (2022)

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Article Mathematics, Interdisciplinary Applications

A practical numerical approach to solve a fractional Lotka-Volterra population model with non-singular and singular kernels

A. S. V. Ravi Kanth et al.

Summary: This paper investigates the dynamical behavior of the fractional Lotka-Volterra dynamic model and provides an error estimation of the proposed method. The simulation results show that the model based on three separate fractional operators displays distinct asymptomatic actions not present in integer-order modeling. Computational results indicate higher accuracy of the proposed scheme through comparison with existing methods.

CHAOS SOLITONS & FRACTALS (2021)

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Article Mathematics

Stochastic Lotka-Volterra competitive reaction-diffusion systems perturbed by space-time white noise: Modeling and analysis

Nhu N. Nguyen et al.

Summary: This paper introduces a stochastic reaction-diffusion partial differential equation model inspired by traditional Lotka-Volterra competitive models, allowing for spatial dependence of species and considering non-linear growth coefficients and multiplicative noise. Analysis and study of the model are carried out by combining random field approach and infinite integration theory approach.

JOURNAL OF DIFFERENTIAL EQUATIONS (2021)

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Article Mathematics, Applied

Dynamics of an intraguild predation food web model with strong Allee effect in the basal prey

Dingyong Bai et al.

Summary: This paper proposes a three-species IGP food web model consisting of the IG predator, IG prey, and basal prey, investigating the impact of strong Allee effect on local and global dynamics. The results show that the model may have multiple attractors and when there exists a unique stable interior equilibrium, the coexistence of all three species is enhanced.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2021)

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Article Mathematics, Interdisciplinary Applications