Understanding the spatiotemporal dynamics and pattern analysis of population model with Holling type-IV functional response.
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| Title: | Understanding the spatiotemporal dynamics and pattern analysis of population model with Holling type-IV functional response. |
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| Authors: | Datta, J.1 (AUTHOR), Sethy, A. K.1 (AUTHOR), Upadhyay, Ranjit Kumar2 (AUTHOR) ranjit@iitism.ac.in |
| Source: | Pramana: Journal of Physics. Jun2026, Vol. 100 Issue 2, p1-26. 26p. |
| Subjects: | Pattern formation (Physical sciences), Reaction-diffusion equations, Spatiotemporal processes, Predation, Bifurcation theory |
| Abstract: | Understanding the dynamics between interacting populations, such as prey and predators, has been significantly enhanced through spatiotemporal pattern analysis. Reaction–diffusion systems are widely used to represent such interactions. The spatial extension of the prey–predator model produces a variety of patterns, including travelling waves, periodic travelling waves, spots, labyrinthine structures, mixed spot-stripe patterns, spatiotemporal chaos, and spiral chaos. In this work, we investigate a prey–predator system incorporating Holling type IV functional response and diffusion. The model is analyzed using phase portraits, bistability conditions, bifurcation theory, and Turing instability. Numerical simulations are performed to illustrate the formation of spot and other complex patterns, validating the analytical results. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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| Abstract: | Understanding the dynamics between interacting populations, such as prey and predators, has been significantly enhanced through spatiotemporal pattern analysis. Reaction–diffusion systems are widely used to represent such interactions. The spatial extension of the prey–predator model produces a variety of patterns, including travelling waves, periodic travelling waves, spots, labyrinthine structures, mixed spot-stripe patterns, spatiotemporal chaos, and spiral chaos. In this work, we investigate a prey–predator system incorporating Holling type IV functional response and diffusion. The model is analyzed using phase portraits, bistability conditions, bifurcation theory, and Turing instability. Numerical simulations are performed to illustrate the formation of spot and other complex patterns, validating the analytical results. [ABSTRACT FROM AUTHOR] |
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| ISSN: | 03044289 |
| DOI: | 10.1007/s12043-026-03122-7 |
