Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis

DOI10.1142/S1793524522500061zbMath1492.92129OpenAlexW4206340305MaRDI QIDQ5866003

Sarvesh Dubey, Jagdev Singh, Ved Prakash Dubey, Ahmed Alshehri, Devendra Kumar

Publication date: 10 June 2022

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524522500061

zbMATH Keywords

mathematical modelhomotopyfractional power seriesphytoplanktonzooplanktonCaputo fractional derivativeSumudu transform

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Ecology (92D40)

Related Items (1)

Computational technique to study analytical solutions to the fractional modified KdV-Zakharov-Kuznetsov equation

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• New results on fractional power series: theories and applications
• A new tool to study real dynamics: the convergence plane
• A novel expansion iterative method for solving linear partial differential equations of fractional order
• Approximate analytical solution of the nonlinear fractional KdV-Burgers equation: a new iterative algorithm
• The coevolution of two phytoplankton species on a single resource: allelopathy as a pseudo-mixotrophy
• Harvesting of a phytoplankton-zooplankton model
• Beyond Adomian polynomials: He polynomials
• Competing effects of toxin-producing phytoplankton on overall plankton populations in the Bay of Bengal
• Sumudu transform fundamental properties investigations and applications
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• On the homotopy analysis method for nonlinear problems.
• Local fractional Sumudu transform with application to IVPs on Cantor sets
• Homotopy perturbation method: a new nonlinear analytical technique
• Comparison of homotopy perturbation method and homotopy analysis method
• A representation of the exact solution of generalized Lane-Emden equations using a new analytical method
• An efficient computational approach for a fractional-order biological population model with carrying capacity
• Nonlocal conservation laws, nonlocal symmetries and exact solutions of an integrable soliton equation
• An efficient computational scheme for nonlinear time fractional systems of partial differential equations arising in physical sciences
• Analytical and numerical solutions of a nonlinear alcoholism model via variable-order fractional differential equations
• A reliable treatment of residual power series method for time-fractional Black-Scholes European option pricing equations
• The role of virus infection in a simple phytoplankton zooplankton system
• Numerical schemes for a class of tempered fractional integro-differential equations
• Modeling the dynamics of nutrient-phytoplankton-zooplankton system with variable-order fractional derivatives
• An efficient numerical method for fractional model of allelopathic stimulatory phytoplankton species with Mittag-Leffler law
• A dynamical model of asymptomatic carrier zika virus with optimal control strategies
• A reliable analytical method for solving higher-order initial value problems
• Modeling migratory grazing of zooplankton on toxic and non-toxic phytoplankton
• A mathematical model for viral infection in toxin producing phytoplankton and zooplankton system
• Dynamics of a stochastic phytoplankton-toxin phytoplankton-zooplankton model
• On the Riemann Problem Simulation for the Drift-Flux Equations of Two-Phase Flows
• Convergence and Applications of Newton-type Iterations
• A coupling method involving the Sumudu transform and the variational iteration method for a class of local fractional diffusion equations
• On the characteristic Adomian decomposition method for the Riemann problem
• Simulation of Compressible Two-Phase Flows Using a Void Ratio Transport Equation
• Weak shock waves and its interaction with characteristic shocks in polyatomic gas
• An adaptation of homotopy analysis method for reliable treatment of strongly nonlinear problems: construction of homotopy polynomials
• TOXIN-ALLELOPATHY AMONG PHYTOPLANKTON SPECIES PREVENTS COMPETITIVE EXCLUSION
• On a new modified fractional analysis of Nagumo equation

This page was built for publication: Numerical investigation of fractional model of phytoplankton–toxic phytoplankton–zooplankton system with convergence analysis