Dynamic Complexity of a Discrete-time Prey-Predator Model with Mixed Functional Responses: Dynamic Complexity of a Discrete-time Prey-Predator Model

Md Jasim Uddin; Md Shariful Islam; Mirza Fahim Ahmed; Akram Hosen

doi:10.3329/dujs.v72i2.75465

Authors

Md Jasim Uddin Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
Md Shariful Islam Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
Mirza Fahim Ahmed Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh
Akram Hosen Department of Mathematics, University of Dhaka, Dhaka-1000, Bangladesh

DOI:

https://doi.org/10.3329/dujs.v72i2.75465

Keywords:

Dynamical systems, Neimark-Sacker (NS) bifurcations, Period-Doubling (PD) bifurcations, Phase portrait, Chaos control

Abstract

Plastic particles less than 5 mm in size, known as microplastics, can infiltrate the environment from a variety of sources. This study aimed to assess the presence of microplastics (MPs) in the atmosphere at fifteen major traffic intersections in the greater Dhaka city from July to August 2022.The deposition rate (DP) of MPs was calculated and the observed DPs value ranged from 1.11×106 MPs/m2/day to 5.78×106 MPs/m2/day with a portion of microplastics exhibiting fluorescence activity. Fourier Transform Infrared (FTIR) spectroscopy was used to analyze the functional groups present in microplastics. The identified polymer compositions of MPs were polyethylene (PE), Nylon-6 and natural polymers (cellulose and rubber). The current study highlights the data and knowledge gaps on the atmospheric transport of microplastics and their impact to the deterioration of overall urban air quality.

Dhaka Univ. J. Sci. 72(2): 15-24, 2024 (July)

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Dynamic Complexity of a Discrete-time Prey-Predator Model with Mixed Functional Responses