Chaotic dynamics of the sugarcane borer-two parasitoid agroecosystem with seasonality

Authors

DOI:

https://doi.org/10.5902/2179460X75328

Keywords:

Sugarcane borer, Parasitoids, Dynamics, Seasonality, Chaos

Abstract

Sugarcane production is a significant and profitable agribusiness sector in many countries. Nevertheless, this industry suffers significant losses from the sugarcane pests, among which the most important one is the sugarcane borer (Diatraea saccharalis). This pest population is hard to be controlled due to its different life stages, thus biological control (with more than one predator species) can be applied. Therefore, in this work, we present and analyze a mathematical model that describes the dynamics of the sugarcane borer and its two different life stages parasitoids: eggs (Trichogramma galloi) and larval (Cotesia flavipes). First, a host-parasitoid model is used to obtain the population dynamics, which also considers the influence of seasonal variations. Then, system simulations and bifurcation diagrams show that the introduction of seasonality perturbations causes complex dynamics and results in limit cycles and strange attractors.

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Author Biographies

Marat Rafikov, Universidade Federal do ABC

Graduated in Aerospace Engineering - Kazan Aviation Institute, Russia (1972). PhD in Technical Cybernetics and Information Theory - Kazan Aviation Institute (1985). He is currently a full professor at the Federal University of ABC. He has experience in the areas of Mathematics and Engineering, with an emphasis on Mathematical Modeling applied to economic, ecological, biological and engineering problems, working mainly on the following subjects: modeling and control of non-linear systems, mathematical modeling and optimal control of population systems, mathematical modeling and control of chaotic systems, biological control and optimal pest control.

Alexandre Molter, Universidade Federal de Pelotas

Has a degree in Mathematics from the University of Vale do Rio dos Sinos (2001), a master's degree in Mathematical Modeling from the Regional University of the Northwest of the State of Rio Grande do Sul (2004), a doctorate in Mechanical Engineering from the Federal University of Rio Grande do Sul (2008) and a post-doctorate from the Federal University of Rio Grande do Sul (2009). He is currently an Associate Professor (DE) at the Federal University of Pelotas. He has experience in Mathematics, with an emphasis on Mathematical Modelling, working mainly on the following subjects: dynamic systems, control and optimization.

João Inácio Moreira Bezerra, Universidade Federal de Pelotas

He holds a Bachelor's degree in Computer Engineering (2019) and a Master's degree in Mathematical Modeling (2021) from the Federal University of Pelotas. PhD student in Computer Science at the Federal University of Pelotas. He currently works in the area of Mathematical Modeling and computing, with an emphasis on Chaos theory, cryptography and Control.

Elvira Rafikova, Universidade Federal do ABC

Professor at the Federal University of ABC since 2012, she holds a PhD in Mechanical Engineering from the State University of Campinas (2010), a Master's degree in Mechanical Engineering from the State University of Campinas (2006), a Bachelor's degree in Computer Science from the Regional University of the Northwest of the State of Rio Grande do Sul (2004). working mainly on the following topics: mobile robotics, optimal control, dynamic systems, mathematical modeling of biological systems.

Maria Cristina Varriale, Federal University of Rio Grande do Sul

Bachelor's degree in Physics (1973) from the Federal University of Rio Grande do Sul (UFRGS), a Bachelor's degree in French Didactics from the University of Vale do Rio dos Sinos (1971), a Master's degree in Physics (1977) and a PhD in Physics (1994), both from UFRGS. She is currently a full professor in the Department of Pure and Applied Mathematics at the Federal University of Rio Grande do Sul. Having worked in the area of Statistical Physics, on the topics of Anderson's localization transition, conductivity and long-range correlations, she has currently focused her research and supervised Master's and Doctoral studies in the area of Applied Mathematics, with an emphasis on Mathematical Ecology, dealing more specifically with the following topics: chaos control, population dynamics, trophic chains, mathematical epidemiology, integrated pest management, using systems of differential equations, difference equations and coupled map networks.

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Published

2024-12-06

How to Cite

Rafikov, M., Molter, A., Bezerra, J. I. M., Rafikova, E., & Varriale, M. C. (2024). Chaotic dynamics of the sugarcane borer-two parasitoid agroecosystem with seasonality. Ciência E Natura, 46. https://doi.org/10.5902/2179460X75328

Issue

Vol. 46 (2024): Publicação contínua

Section

Mathematics

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