Chaotic dynamics in some fractional predator-prey models via a new Caputo operator based on the generalised Gamma function

Article Computer Science, Interdisciplinary Applications

A fractional land use change model for ecological applications

Simon Kapitza et al.

Summary: By mapping land use under projections of socio-economic change, ecological changes can be predicted to inform conservation decision-making. The model presented in the study enables fine-scale mapping of land use changes under future scenarios, providing higher information content than discrete classes. The method accurately reproduced land use patterns observed in the Amazon, showcasing its potential for application in conservation and biodiversity modelling.

ENVIRONMENTAL MODELLING & SOFTWARE (2022)

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Article Mathematics, Interdisciplinary Applications

A study on eco-epidemiological model with fractional operators

Ajay Kumar et al.

Summary: This paper employs fractional calculus to model a three-dimensional prey-predator population, and explores the existence of a solution and the conditions for a unique solution. The results of the study show that the model can be locally stable by introducing fractional calculus, and different choices of non-integer operators result in different dynamical behaviors.

CHAOS SOLITONS & FRACTALS (2022)

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Article Mathematics, Applied

Novel Evaluation of Fuzzy Fractional Biological Population Model

Rabab Alyusof et al.

Summary: This article discusses an iterative transformation method that mixes Laplace transform with iterative method via fuzziness. By employing Caputo derivative operator, the proposed technique demonstrates the reliability of fractional fuzzy biological population equations with initial fuzzy conditions. The obtained results are more general and can be applied to a wide variety of problems by translating the fuzzy fractional differential equation into an equivalent system of corresponding fractional differential equations.

JOURNAL OF FUNCTION SPACES (2022)

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Article Mathematics, Interdisciplinary Applications

Fractional order biological snap oscillator: Analysis and control

Pushali Trikha et al.

Summary: The manuscript conducts a thorough dynamical analysis of the four dimensional fractional order biological snap oscillator, utilizing various dynamical tools to study its behavior characteristics and validate through numerical simulations.

CHAOS SOLITONS & FRACTALS (2021)

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Article Materials Science, Multidisciplinary

A new and general fractional Lagrangian approach: A capacitor microphone case

A. Jajarmi et al.

Summary: In this study, a new fractional formulation is presented to investigate the complex behaviors of a capacitor microphone dynamical system. By constructing Euler-Lagrange equations and using matrix approximation technique, a nonlinear algebraic system is derived and solved numerically, revealing various features different from previous mathematical formalism.

RESULTS IN PHYSICS (2021)

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Article Materials Science, Multidisciplinary

An analytical study of the dynamic behavior of Lotka-Volterra based models of COVID-19

Wael W. Mohammed et al.

Summary: This study investigates the dynamics of COVID-19 in Lotka-Volterra based Models with fractional derivatives. The existence and boundedness of non-negative solution of the fractional model is proved, and local stability is discussed based on Matignon's stability conditions. Numerical results demonstrate the effect of the fractional parameter on flattening the curves of the coexistence steady state.

RESULTS IN PHYSICS (2021)

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Article Mathematics, Interdisciplinary Applications