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Discussion on Proportional Harvesting Model in Fuzzy Environment: Fuzzy Differential Equation Approach

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Abstract

Having much attention in the past few years, uncertainty (fuzzy, interval etc.,) play important role in mathematical biology. In this paper we study a proportional harvesting model in fuzzy environment. The model is considered in three different way: initial population density as a fuzzy number, intrinsic growth rate and proportional harvesting are fuzzy number and initial population density, intrinsic growth rate, proportional harvesting are fuzzy number. The solution procedure is done by the concept of fuzzy differential equation. This paper explores the stability analysis of a bio mathematical model in fuzzy environment. We have discussed about equilibrium points and their feasibility. The necessary numerical result is done and discuss briefly.

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Authors and Affiliations

  1. Department of Mathematics, National Institute of Technology Agartala, Jirania, Tripura, 799046, India

    Susmita Paul, Sankar Prasad Mondal & Paritosh Bhattacharya

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  1. Susmita Paul
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  2. Sankar Prasad Mondal
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Correspondence to Sankar Prasad Mondal.

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Paul, S., Mondal, S.P. & Bhattacharya, P. Discussion on Proportional Harvesting Model in Fuzzy Environment: Fuzzy Differential Equation Approach. Int. J. Appl. Comput. Math 3, 3067–3090 (2017). https://doi.org/10.1007/s40819-016-0283-3

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