Abstract

The increase in human population poses a great menace for the forestry resources. Therefore, protection and conservation of forestry resources is a challenging subject across the globe. Keeping this point in view, we propose and analyze a nonlinear mathematical model to assess the effect of economic efforts applied to control population pressure as well as to increase forestry resources by plantation on the conservation of forestry resources. The condition when one should spend more money on plantation/reducing population pressure has been obtained. Numerical simulation is also performed to support analytical findings and identify the important parameters useful for the conservation of forestry resources.

Highlights

  • Sustainable forest management is crucial for the survival of species on the planet Earth because forests sequestrate carbon dioxide during photosynthesis and release oxygen and maintaining the air quality in the ecosystem

  • In reducing the population pressure by using money to aware the population regarding the ill effects of deforestation, to give up the slash and burn techniques, using the products, which are not made of woods, like plastic doors and furniture and providing the incentives to the population to purchase fuel efficient stoves, biogas, etc., to minimize the extra burden on the forestry resources

  • In this paper, we have studied the influence of economic efforts on the control of population pressure and conservation of forestry resources

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Summary

Introduction

Sustainable forest management is crucial for the survival of species on the planet Earth because forests sequestrate carbon dioxide during photosynthesis and release oxygen and maintaining the air quality in the ecosystem. To fulfil this demand of population, industrialization increases, which leads to deforestation [11] In this regard, Misra et al [19] have suggested that economic efforts (i.e., providing incentives to the people in the form of subsidies on the alternate products of forestry resources, like tin, fibre, fuel efficient stoves, biogas, etc.) are the useful tools to fulfil the demand of population and population pressure can be reduced. Misra et al [18] have presented a mathematical model to study the depletion of forestry resources due to population and population pressure They have extended their model for the conservation of forestry resources by using economic efforts, which provide subsidies to the peoples on fuel efficient stoves, biogas, tin, fibre, etc., so population switch over to the alternate of forestry resources. The population pressure can be reduced by using money to aware the population about ill effects of deforestation, to give up the slash and burn techniques, using the products, which are not made of woods, like plastic doors and furniture and providing the incentives to the population to purchase fuel efficient stoves, biogas, etc

Mathematical model
Boundedness of the system
Equilibrium analysis
Local stability analysis
Global stability analysis
Numerical simulation
Conclusion

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