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Routes to extreme events in forced-transmission eco-epidemic model: A dynamical-systems perspective

Author

Listed:
  • Saiparasad, V.R.
  • Kaviya, B.
  • Senthilkumar, D.V.
  • Chandrasekar, V.K.

Abstract

We employ a seasonally forced eco-epidemiological predator–prey model to investigate how periodic transmission shapes population dynamics and rare outbreaks. Through numerical simulations supported by bifurcation diagrams, Lyapunov-exponent spectra, and fractal-dimension analysis, we identify transitions between periodic, chaotic, and intermittent extreme-event regimes as forcing amplitude and frequency vary. A rigorous extreme-value framework, combining Generalized Pareto Peak Over Threshold (POT) fits of threshold exceedances with Gamma-distributed Inter-Spike-Interval (ISI) analysis, confirms that both amplitude and temporal outliers are accurately captured. Results indicate that high-frequency forcing enhances chaotic irregularity while inhibiting extreme peaks, whereas low-frequency forcing promotes sporadic large-amplitude events. Global elasticity indices under ±20% parameter perturbations reveal that these dynamical regimes persist under ecological uncertainty. These findings highlight the pivotal role of seasonality in disease-driven ecological dynamics and offer quantitative tools for forecasting and mitigating rare outbreaks.

Suggested Citation

  • Saiparasad, V.R. & Kaviya, B. & Senthilkumar, D.V. & Chandrasekar, V.K., 2026. "Routes to extreme events in forced-transmission eco-epidemic model: A dynamical-systems perspective," Applied Mathematics and Computation, Elsevier, vol. 508(C).
    • Handle: RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003455
    DOI: 10.1016/j.amc.2025.129619
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    1. Al-Amery, Amera & Herrera, Jose L. & Du, Zhanwei & Ertem, Melissa Zeynep, 2025. "Epidemic surveillance systems and containment strategies in complex networks," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    2. Xie, Kai & Szolnoki, Attila, 2025. "Reputation in public goods cooperation under double Q-learning protocol," Chaos, Solitons & Fractals, Elsevier, vol. 196(C).
    3. Ma, Jinlong & Wang, Peng, 2024. "Impact of community networks with higher-order interaction on epidemic dynamics," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    4. Marten Scheffer & Steve Carpenter & Jonathan A. Foley & Carl Folke & Brian Walker, 2001. "Catastrophic shifts in ecosystems," Nature, Nature, vol. 413(6856), pages 591-596, October.
    5. repec:hal:journl:hal-04111820 is not listed on IDEAS
    6. Didier SORNETTE, 2009. "Dragon-Kings, Black Swans and the Prediction of Crises," Swiss Finance Institute Research Paper Series 09-36, Swiss Finance Institute.
    7. Peter W. Gething & David L. Smith & Anand P. Patil & Andrew J. Tatem & Robert W. Snow & Simon I. Hay, 2010. "Climate change and the global malaria recession," Nature, Nature, vol. 465(7296), pages 342-345, May.
    8. Colin Raymond & Radley M. Horton & Jakob Zscheischler & Olivia Martius & Amir AghaKouchak & Jennifer Balch & Steven G. Bowen & Suzana J. Camargo & Jeremy Hess & Kai Kornhuber & Michael Oppenheimer & A, 2020. "Understanding and managing connected extreme events," Nature Climate Change, Nature, vol. 10(7), pages 611-621, July.
    9. Jamie M. Caldwell & A. Desiree LaBeaud & Eric F. Lambin & Anna M. Stewart-Ibarra & Bryson A. Ndenga & Francis M. Mutuku & Amy R. Krystosik & Efraín Beltrán Ayala & Assaf Anyamba & Mercy J. Borbor-Cord, 2021. "Climate predicts geographic and temporal variation in mosquito-borne disease dynamics on two continents," Nature Communications, Nature, vol. 12(1), pages 1-13, December.
    10. Andy Dobson & Cristiano Ricci & Raouf Boucekkine & Giorgio Fabbri & Ted Loch-Temzelides & Mercedes Pascual, 2023. "Balancing economic and epidemiological interventions in the early stages of pathogen emergence," Post-Print hal-04150117, HAL.
    11. Li, Yusheng & Yao, Yichao & Feng, Minyu & Benko, Tina P. & Perc, Matjaž & Završnik, Jernej, 2025. "Epidemic dynamics in homes and destinations under recurrent mobility patterns," Chaos, Solitons & Fractals, Elsevier, vol. 195(C).
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