Fractional prey-predator model in biological Pest control

Chauhan, Ram Pratap; Singh, Ravikant; Thota, Srinivasarao

doi:10.22034/cmde.2025.64960.2960

Fractional prey-predator model in biological Pest control

Document Type : Research Paper

Authors

¹ Department of Mathematics, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Amaravati, Andhra Pradesh--522503, India.

² Department of Mathematics, Amity School of Engineering and Technology, Amity University, Gwalior, Madhya Pradesh--474020, India.

10.22034/cmde.2025.64960.2960

Abstract

In developing countries, the agricultural industry is pivotal in economic development and sustaining rural livelihoods. However, one of the major challenges to achieving global food security is crop losses caused by pests. Pest control is a vital practice for safeguarding crops; it is often complicated by the need to balance pest reduction with the associated costs of operations, as well as the potential impacts on the environment and human health. This delicate balance is crucial for sustainable agriculture and long-term food security. In this paper, a mathematical model is developed to quantify the complex biological processes involved in the biological control of pests through prey-predator mechanisms. We provide trajectory analysis in the research discussion analysis.

Keywords

Main Subjects

Dynamical systems and ergodic theory

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