Numerical analysis of fractional order Pine wilt disease model with bilinear incident rate

DOI10.22436/jmcs.017.03.07zbMath1427.92090OpenAlexW2743257586MaRDI QIDQ5205322

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Publication date: 11 December 2019

Published in: Journal of Mathematics and Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jmcs.017.03.07

zbMATH Keywords

analytical solutionfractional derivativespine wilt diseaseLaplace-Adomian decomposition methodbilinear incident rate

Mathematics Subject Classification ID

Epidemiology (92D30) Numerical problems in dynamical systems (65P99) Fractional ordinary differential equations (34A08)

Related Items (11)

Semi-analytical study of pine wilt disease model with convex rate under Caputo-Febrizio fractional order derivative ⋮ Fractional order mathematical modeling of COVID-19 transmission ⋮ Study of a nonlinear multi-terms boundary value problem of fractional pantograph differential equations ⋮ Save the pine forests of wilt disease using a fractional optimal control strategy ⋮ Analytic study of pine wilt disease model with Caputo–Fabrizio fractional derivative ⋮ Transmission dynamics and sensitivity analysis of pine wilt disease with asymptomatic carriers via fractal-fractional differential operator of Mittag-Leffler kernel ⋮ Fractional order mathematical modeling of novel corona virus (COVID‐19) ⋮ Study of a fractional-order epidemic model of childhood diseases ⋮ Unnamed Item ⋮ Variational iteration method and differential transformation method for solving the SEIR epidemic model ⋮ Numerical analysis of fractional order epidemic model of childhood diseases

Cites Work

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• Global dynamics of a pine wilt disease transmission model with nonlinear incidence rates
• Global stability of a host-vector model for pine wilt disease with nonlinear incidence rate
• Analytical solutions of fractional order diffusion equations by natural transform method
• Analysis of the mathematical model for the spread of pine wilt disease
• Solution of the epidemic model by Adomian decomposition method
• A new technique of using homotopy analysis method for solving high-order nonlinear differential equations

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