Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator

DOI10.1016/j.chaos.2019.05.037zbMath1448.92380OpenAlexW2950694106MaRDI QIDQ2213820

Abdullahi Yusuf, Sania Qureshi

Publication date: 3 December 2020

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2019.05.037

zbMATH Keywords

fixed point theorynumerical simulationglobal warmingwildlife

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Fractional ordinary differential equations (34A08)

Related Items (23)

Climate change effects on fractional order prey-predator model ⋮ High-dimensional spatial patterns in fractional reaction-diffusion system arising in biology ⋮ Real life application of Caputo fractional derivative for measles epidemiological autonomous dynamical system ⋮ Fractional modeling for the spread of Hookworm infection under Caputo operator ⋮ Monotonically decreasing behavior of measles epidemic well captured by Atangana-Baleanu-Caputo fractional operator under real measles data of Pakistan ⋮ Fractional optimal control problems on a star graph: optimality system and numerical solution ⋮ Approximate solutions of Atangana-Baleanu variable order fractional problems ⋮ Fractional physical models based on falling body problem ⋮ Fractional modeling for a chemical kinetic reaction in a batch reactor via nonlocal operator with power law kernel ⋮ Modified homotopy methods for generalized fractional perturbed Zakharov-Kuznetsov equation in dusty plasma ⋮ Fractional methicillin-resistant \textit{Staphylococcus aureus} infection model under Caputo operator ⋮ Modeling the dynamic of COVID-19 with different types of transmissions ⋮ Analytical and numerical simulations for the kinetics of phase separation in iron (Fe-CR-X (X=Mo,Cu)) based on ternary alloys ⋮ Caputo SIR model for COVID-19 under optimized fractional order ⋮ Analysis and pattern formation scenarios in the superdiffusive system of predation described with Caputo operator ⋮ Mathematical analysis for an autonomous financial dynamical system via classical and modern fractional operators ⋮ Representation of solutions for Sturm–Liouville eigenvalue problems with generalized fractional derivative ⋮ Fractional model of smoking with relapse and harmonic mean type incidence rate under Caputo operator ⋮ Mathematical modeling for adsorption process of dye removal nonlinear equation using power law and exponentially decaying kernels ⋮ An efficient numerical algorithm for solving fractional SIRC model with salmonella bacterial infection ⋮ A reliable technique to study nonlinear time-fractional coupled Korteweg-de Vries equations ⋮ Fractional-Order Model for Myxomatosis Transmission Dynamics: Significance of Contact, Vector Control and Culling ⋮ Non-local fractional calculus from different viewpoint generated by truncated \(M\)-derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• An optimized two-step hybrid block method for solving general second order initial-value problems
• A first approach in solving initial-value problems in ODEs by elliptic fitting methods
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• \(L\)-stable explicit nonlinear method with constant and variable step-size formulation for solving initial value problems
• A fractional order pine wilt disease model with Caputo-Fabrizio derivative
• A tenth order \(\mathcal{A} \)-stable two-step hybrid block method for solving initial value problems of ODEs
• Detailed error analysis for a fractional Adams method
• A predictor-corrector approach for the numerical solution of fractional differential equations
• Modeling the effect of time delay on the conservation of forestry biomass
• Mathematical analysis of dengue fever outbreak by novel fractional operators with field data
• A fractional model for the dynamics of TB virus
• A new fractional model for tuberculosis with relapse via Atangana-Baleanu derivative
• Atangana-Baleanu fractional approach to the solutions of Bagley-Torvik and Painlevé equations in Hilbert space
• Modeling chickenpox disease with fractional derivatives: from Caputo to Atangana-Baleanu
• Modeling attractors of chaotic dynamical systems with fractal-fractional operators
• Chaos synchronization of a fractional nonautonomous system
• MODELING THE DEPLETION OF A RENEWABLE RESOURCE BY POPULATION AND INDUSTRIALIZATION: EFFECT OF TECHNOLOGY ON ITS CONSERVATION
• Fractional modeling of blood ethanol concentration system with real data application
• Two-strain epidemic model involving fractional derivative with Mittag-Leffler kernel
• Modeling the effect of economic efforts to control population pressure and conserve forestry resources
• Modeling the effect of deforestation caused by human population pressure on wildlife species

This page was built for publication: Mathematical modeling for the impacts of deforestation on wildlife species using Caputo differential operator