Prey-Predator Model Under Fuzzy Uncertanties

Pereira, Chryslayne M.; Cecconello, Moiseis S.; Bassanezi, Rodney Carlos

doi:10.1007/978-3-319-95312-0_35

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Cited by 3 publications

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“…Existence of limit cycles was done for a model with functional response in [20]. Numerical computations were done in [21] to compare the fuzzy solution with the deterministic one. In [22], the authors concluded the superiority of the fuzzy solution over the crisp one.…”

Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan(ax)

2021

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Section: Introductionmentioning

confidence: 99%

Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan(ax)

2021

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Discrete Prey–Predator Model with Square Root Functional Response Under Imprecise Biological Parameters

Santra

Mahapatra²

2020

Mathematical Modeling and Computational Tools

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Study of Fear Effect on Prey–Predator Model with Ivlev-Type Functional Response in Fuzzy Environment

Das

Biswas

Das

2021

New Math. and Nat. Computation

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A prey–predator model with Ivlev-type functional response and the fear effect on prey species by the predator have been considered for the first time in a crisp as well as fuzzy environment. The effects of fear have been investigated on the stability of the system. Granular function derivative concept has been used to do fuzzy mathematics. For the first time, proper model analysis, positivity, bounds and uniform persistence are studied for our proposed model in fuzzy environment. The conditions of stability of all co-existing equilibrium points and Hopf bifurcation analysis have also been studied in fuzzy environment. Analytical results have been justified by numerical simulation with proper table and graphical presentation in crisp and fuzzy environment both.

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Prey-Predator Model Under Fuzzy Uncertanties

Cited by 3 publications

References 31 publications

Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan(ax)

Numerical Investigation of Fuzzy Predator-Prey Model with a Functional Response of the Form Arctan(ax)

Discrete Prey–Predator Model with Square Root Functional Response Under Imprecise Biological Parameters

Study of Fear Effect on Prey–Predator Model with Ivlev-Type Functional Response in Fuzzy Environment

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