ArticleScientific reports2026
Study of memory-dependent dynamics of a predator-prey model with hyperbolic mortality.
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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2 authors.
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Abstract
This paper employs the Caputo fractional derivative to analyze a fractional-order prey-predator model distinguished by hyperbolic mortality, incorporating memory effects to augment the realism of species interactions. According to fixed point theory, it is proven that the system is well-posed ensuring the existence, uniqueness, positivity, and boundedness of the solution. Local stability is studied using the Jacobian matrix and fractional-order stability criteria. We conduct numerical simulations to corroborate the theoretical findings, and an error analysis utilizing step-size refinement demonstrates that the numerical scheme converges and is precise. Also, a sensitivity analysis is done to see how important parameters affect the dynamics of the system.
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