Evidence map›Paper›PMID 42185392›Full record

ArticleScientific reports2026

Fractional-order analysis of a fear-induced ecoepidemiological predator-prey model with optimal control and bifurcation dynamics.

Faizah A H Alomari, G M Bahaa

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In one paragraph

Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.

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1 · What the graph read from it

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2 · The registry

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3 · Its place in the literature

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No citing paper in PubMed yet.

4 · The record

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5 · Who and what money

Authors and funding

2 authors.

Faizah A H AlomariDepartment of Mathematics, Al-Baha University, 65779, Al-Baha, Saudi Arabia.
G M BahaaDepartment of Mathematics and Computer Science, Beni-Suef University, 26511, Beni-Suef, Egypt. Bahaa_gm@yahoo.com.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We propose and analyze a fractional-order ecoepidemiological predator-prey model that incorporates disease transmission within the prey population and predator-induced fear effects. The model is formulated using the Caputo fractional derivative to capture memory-dependent dynamics. Fundamental properties, including positivity, boundedness, and existence of solutions, are established. Equilibrium points are derived and their local stability is investigated using the Matignon criterion. Numerical bifurcation analysis reveals transitions between stable equilibria and oscillatory regimes under variations of key biological parameters. An optimal control problem is formulated to reduce infection levels and intervention costs, and necessary optimality conditions are obtained via the fractional Pontryagin Maximum Principle. Numerical simulations demonstrate that fractional dynamics and fear effects enhance system stability and reduce control effort.

Indexed as

FearModels, BiologicalPredatory BehaviorAnimalsComputer SimulationBifurcation analysisCaputo derivativeCost-effectiveness analysisEcoepidemiological modelFear effectFractional optimal controlFractional-order systemsMatignon stability criterionPontryagin maximum principle

Identifiers

PMID42185392
PMCPMC13201629

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.