In this paper,a nonlinear mathematical model is proposed and analyzed to study the depletion of forestry resources caused simultaneously by population and population pressure augmented industrialization.The control of...In this paper,a nonlinear mathematical model is proposed and analyzed to study the depletion of forestry resources caused simultaneously by population and population pressure augmented industrialization.The control of population pressure,using economic efforts is also considered in the modeling process.It is assumed that cumulative biomass density of forestry resources and the density of population follow logistic models.It is further assumed that the density of population and the level of industrialization increase as the cumulative biomass density of forestry resources increases.The cumulative density of economic efforts,which are applied to control the population pressure,is considered to be proportional to the population pressure.The model analysis shows that as the population pressure increases,the level of industrialization increases leading to decrease in the cumulative biomass density of forestry resources.It is found that if population pressure is controlled by using some economic efforts,the decrease in cumulative biomass density of forestry resources can be made much less than the case when no control is applied.It is also noted that if the population pressure augmented industrialization increases without control,the forestry resources may become extinct.展开更多
Forest resources are important natural resources for all living beings but they are continuously depleting due to overgrowth of human population and their development activities.Therefore,conservation of forest resour...Forest resources are important natural resources for all living beings but they are continuously depleting due to overgrowth of human population and their development activities.Therefore,conservation of forest resources is an important problem for sustainable development.In view of this,in this paper,we have proposed and analyzed a nonlinear mathematical model to study the effects of economic and technological efforts on the conservation of forest resources.In the modeling process,it is assumed that due to increase in population size,the demand of population(population pressure)for forest products,lands,etc.,increases and to reduce this population pressure,economic efforts are employed proportional to the population pressure.Further,it is assumed that technological efforts in the form of genetically engineered plants are applied proportional to the depleted level of forest resources to conserve them.Model analysis reveals that increase in economic and technological efforts increases the density of forest resources but further increase in these efforts destabilizes the system.Numerical simulation is carried out to verify analytical findings and explore the effect of different parameters on the dynamics of model system.展开更多
基金the financial assistance in the form of Senior Research Fellowship(09/013(0267)/2009-EMR-I).
文摘In this paper,a nonlinear mathematical model is proposed and analyzed to study the depletion of forestry resources caused simultaneously by population and population pressure augmented industrialization.The control of population pressure,using economic efforts is also considered in the modeling process.It is assumed that cumulative biomass density of forestry resources and the density of population follow logistic models.It is further assumed that the density of population and the level of industrialization increase as the cumulative biomass density of forestry resources increases.The cumulative density of economic efforts,which are applied to control the population pressure,is considered to be proportional to the population pressure.The model analysis shows that as the population pressure increases,the level of industrialization increases leading to decrease in the cumulative biomass density of forestry resources.It is found that if population pressure is controlled by using some economic efforts,the decrease in cumulative biomass density of forestry resources can be made much less than the case when no control is applied.It is also noted that if the population pressure augmented industrialization increases without control,the forestry resources may become extinct.
文摘Forest resources are important natural resources for all living beings but they are continuously depleting due to overgrowth of human population and their development activities.Therefore,conservation of forest resources is an important problem for sustainable development.In view of this,in this paper,we have proposed and analyzed a nonlinear mathematical model to study the effects of economic and technological efforts on the conservation of forest resources.In the modeling process,it is assumed that due to increase in population size,the demand of population(population pressure)for forest products,lands,etc.,increases and to reduce this population pressure,economic efforts are employed proportional to the population pressure.Further,it is assumed that technological efforts in the form of genetically engineered plants are applied proportional to the depleted level of forest resources to conserve them.Model analysis reveals that increase in economic and technological efforts increases the density of forest resources but further increase in these efforts destabilizes the system.Numerical simulation is carried out to verify analytical findings and explore the effect of different parameters on the dynamics of model system.
