TARU PUBLICATIONS
 Journal of Statistics and Management Systems cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510
Powered by:Powered by

The Journal of Statistics and Management Systems (JSMS) is a world leading journal publishing high quality, rigorously peer-reviewed original research on theoretical and applied statistics and management systems since 1998. The scope is intentionally broad, but papers must make a novel contribution to the field to be considered for publication. Topics include, but are not limited to, the following: • Statistics • Applied Statistics • Industrial Statistics • Statistical Inference • Interdisciplinary role of Statistics • Actuarial Sciences • Decision Sciences • Managerial Aspects • Management Sciences • Management Information Systems

Issues up to 2022 co-published with and available at:Taylor & Francis Online
submissions@tarupublications.com
Open Access Research Article

A three-species interaction model for crop-pest dynamics and environmental factors in agricultural ecosystems

* , ,

* Corresponding author · click or hover a name for details

pp. 971–992Vol. 28Issue 5July 2025DOI: 10.47974/JSMS-1458XML
Received:
08 Oct 2024
Published Online:
08 Jul 2025
Article type:
Research Article
Language:
EN
Article no.:
JSMS-1458
Pages:
971–992

Abstract

This Study Examines a Three-Species Interaction Model Representing the Dynamics Between Crops, Pests, and a Third Environmental Factor in Agriculture. The Model, Driven by Nonlinear Differential Equations, Explores How Crop Growth is Influenced by Carrying Capacity, Pest Predation, and Agricultural Interventions like Fertilization and Pesticides. Pest Dynamics Depend on Competition with Crops and Interactions with the Third Species, Which Could Signify Predators or Ecological Stressors. Through Equilibrium Analysis and Stability Assessment via Jacobian Matrices and Eigenvalues, the Model Offers Insights into Sustainable Farming and Pest Management. The Findings Contribute to Strategies for Ecological Balance, Optimal Yield, and Long-Term Agricultural Sustainability.

Keywords

Subject Classifications

92D40 (Primary)37N2592B0537C75 (Secondary)

References

[1] J. R. Beddington and R. M. May, “Exploring the effects of random environmental variations on the sustainable harvesting of natural populations,” Science, vol. 197, pp. 463–465 (1977).
[2] M. P. Hassell, The Dynamics of Arthropod Predator-Prey Systems. Princeton, NJ, USA: Princeton University Press (1978).
[3] C. S. Holling, “Examining factors influencing predation by small on the European pine sawfly,” The Canadian Entomologist, vol. 91, pp. 293–320 (1959).
[4] A. J. Lotka, Elements of Physical Biology. Baltimore, MD, USA: Williams & Wilkins (1925).
[5] R. M. May, Stability and Complexity in Model Ecosystems. Princeton, NJ, USA: Princeton University Press (1973).
[6] J. D. Murray, Mathematical Biology I: An Introduction, 3rd ed. New York, NY, USA: Springer (2002).
[7] S. L. Pimm, “The complexity and stability of ecosystems,” Nature, vol. 307, pp. 321–326 (1984).
[8] D. Tilman, Resource Competition and Community Structure. Princeton, NJ, USA: Princeton University Press (1982).
[9] V. Volterra, “Mathematical analysis of population fluctuations of species,” Nature, vol. 118, pp. 558–560 (1926).
[10] M. D. G. Perez and B. P. Pelegrin, “Exact equilibrium quantities in spatially separated markets under production constraints,” Journal of Interdisciplinary Mathematics, vol. 23, no. 7, pp. 1309–1323 (2020), doi: 10.1080/097205.2020.1741220.

Views: 76Downloads: 7Citations: 0