Role of ecotourism in conserving forest biomass: A mathematical model

Author:

Pathak Rachana1,Bhadauria Archana Singh2,Chaudhary Manisha3,Verma Harendra4,Mathur Pankaj4,Agrawal Manju4,Singh Ram5

Affiliation:

1. Faculty of Engineering and Technology, University of Lucknow , Lucknow 226007 , India

2. Department of Mathematics and Statistics, Deen Dayal Upadhyaya Gorakhpur University , Gorakhpur 273009 , India

3. Department of Mathematics, School of Engineering, Presidency University , Itgalpur, Rajankunte, Yelahanka , Bengaluru 560064 , India

4. Department of Mathematics and Astronomy, University of Lucknow , Lucknow 226007 , India

5. Department of Mathematical Sciences, BGSB University , Rajouri , J&K 185234 , India

Abstract

Abstract Ecotourism is a form of tourism involving responsible travel to natural areas, conserving the environment, and improving the well-being of the local people. Its purpose may be to educate the traveler, to provide funds for ecological censervation, to directly benifit the economic development, and political empowerment of local communities. Ecotourism has come up as an important conservation strategy in the tropical areas where diversity of species and habitats are threatened because of the traditional forms of development. This study deals with a non-linear mathematical model with a novel idea for sustainable development of biomass with ecotourism which is imperative in the present scenario. Stability and bifurcation analysis of the model is done and it is observed from our study that the system predicts unstability and exhibits bifurcation if ecotourism goes beyond a threshold value.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Mathematical Physics,Molecular Biology,Biophysics

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