4.3 Article

Influence of toxic substances on dynamical behavior of a delayed diffusive predator-prey model

Related references

Note: Only part of the references are listed.
Article Mathematics, Interdisciplinary Applications

On the Stability and Numerical Scheme of Fractional Differential Equations with Application to Biology

Khalid Hattaf

Summary: The stability and numerical approximation of solutions for fractional differential equations with the new generalized Hattaf fractional derivative are investigated in this study. The obtained results are then applied to a biological nonlinear system in epidemiology.

COMPUTATION (2022)

Article Engineering, Mechanical

Spatiotemporal dynamics of a delayed diffusive ratio-dependent predator-prey model with fear effect

Xuebing Zhang et al.

Summary: In this study, a delayed diffusive predator-prey model with fear effect is considered due to the delay in the impact of fear on the growth rate of prey. The existence of equilibria, occurrence of Turing, Hopf and Turing-Hopf bifurcation, and global asymptotic stability of the positive equilibrium are analyzed, with various spatiotemporal patterns induced by delay confirmed through numerical simulations.

NONLINEAR DYNAMICS (2021)

Article Mathematics, Applied

A study on fractional host-parasitoid population dynamical model to describe insect species

Sunil Kumar et al.

Summary: The study proposed a fractional model of host-parasitoid population dynamical system and explored the possibility of new chaotic behaviors using a fractional singular operator. Two numerical schemes were suggested to solve the fractional host-parasitoid population, and efficiency assessment was conducted through numerical simulations.

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS (2021)

Article Mathematics

Formulation of the normal form of Turing-Hopf bifurcation in partial functional differential equations

Weihua Jiang et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Article Mathematics, Applied

Spatiotemporal Dynamics of a Diffusive Predator-Prey System with Allee Effect and Threshold Hunting

Daiyong Wu et al.

JOURNAL OF NONLINEAR SCIENCE (2020)

Article Mathematics, Interdisciplinary Applications

A New Generalized Definition of Fractional Derivative with Non-Singular Kernel

Khalid Hattaf

COMPUTATION (2020)

Article Mathematics, Applied

Complex dynamics of a diffusive predator-prey model with strong Allee effect and threshold harvesting

Daiyong Wu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2019)

Article Mathematics, Interdisciplinary Applications

Harvesting in a toxicated intraguild predator-prey fishery model with variable carrying capacity

Tau Keong Ang et al.

CHAOS SOLITONS & FRACTALS (2019)

Article Mathematics, Applied

Dynamics and pattern formation in homogeneous diffusive predator-prey systems with predator interference or foraging facilitation

Xuebing Zhang et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2019)

Article Engineering, Mechanical

Dynamics and pattern formation of a diffusive predator-prey model in the presence of toxicity

Xuebing Zhang et al.

NONLINEAR DYNAMICS (2019)

Article Mathematics, Applied

The impact of provision of additional food to predator in predator-prey model with combined harvesting in the presence of toxicity

Reenu Rani et al.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2019)

Article Mathematics, Applied

Dynamics of a predator-prey model with harvesting and reserve area for prey in the presence of competition and toxicity

Younes Louartassi et al.

JOURNAL OF APPLIED MATHEMATICS AND COMPUTING (2019)

Article Engineering, Mechanical

Pattern formation in a system involving prey-predation, competition and commensalism

Santu Ghorai et al.

NONLINEAR DYNAMICS (2017)

Article Ecology

Mathematical analysis of a model for plant invasion mediated by allelopathy

A. C. Fassoni et al.

ECOLOGICAL COMPLEXITY (2014)

Article Mathematics

Bifurcation and spatiotemporal patterns in a homogeneous diffusive predator-prey system

Fengqi Yi et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2009)