Fish harvesting strategies with allee effect

Ashutosh Maurya,Anupam Priyadarshi,M.-M Boureanu,P Popescu,D Constantinescu,M Popescu,C Vladimirescu

doi:10.1051/itmconf/20203402004

Abstract

Fish harvesting is important for nutritious food availability in human diet. In this manuscript, a simple ﬁsh harvesting model is developed using logistic growth along with allee eﬀect. We study the basic mathematical properties of the model as equilibrium analysis and stability. For better understanding of the model performance, we perform the simulation of the system with diﬀerent constant harvesting rate and periodic harvesting rate. The results shows that periodic harvesting is economically beneﬁcial than the constant harvesting in ﬁsh stock.

Highlights

Partial harvesting is the harvesting of a specific age or size group fish at a particular time while total harvesting is complete cropping at end of tenure
Along with these harvesting techniques, some other approaches are used like periodic harvesting and another functional type in theoretical mathematical modelling [2]
Introducing a new traits may alter the system dynamics qualitatively. We extend their studies by introducing allee effect trait in growth rate with constant harvesting rate and periodic harvesting rate and deduce that which one is better economically

Summary

Introduction

Consumption of fish increases high-density lipoprotein cholesterol and omega-3 fatty acids and lowers the triglycerides level which improves human healthy life. Partial harvesting is the harvesting of a specific age or size group fish at a particular time while total harvesting is complete cropping at end of tenure. Along with these harvesting techniques, some other approaches are used like periodic harvesting and another functional type in theoretical mathematical modelling [2]. These studies are required for the improvement in fish stocks and increment in income of farmers due to short term market volatility

Objectives

Results

Conclusion