Depletion and Conservation of Forestry Resources: A Mathematical Model

Arvind Misra1, Kusum Lata2
1Banaras Hindu Univ.
2Department of Mathematics, Faculty of Science, Banaras Hindu University, Varanasi, India

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Bhattacharya, D.K.: Toxicity in plants and optimal growth under fertilizer. J. Appl. Math. Comput. 16(1–2), 355–369 (2004)

Carr, J.: Applications of Center Manifold Theory. Springer, New York (1981)

Dhar, J.: Population model with diffusion and supplementary forest resource in a two-patch habitat. Appl. Math. Model. 32, 1219–1235 (2008)

Dubey, B.: Modeling the effect of toxicant on forestry resources. Indian J. Pure Appl. Math. 28(1), 1–12 (1996)

Dubey, B.: Modelling the depletion and conservation of resources: effects of two interacting populations. Ecol. Model. 101, 123–136 (1997)

Dubey, B., Das, B.: Model for the survival of species dependent on resource in industrial enviroment. J. Math. Anal. Appl. 231, 374–396 (1999)

Das, N., Pal, S., Chattopadhyay, J.: The role of viral infection on a bacterial ecosystem with nutrient enrichment. Differ. Equ. Dyn. Syst. doi: 10.1007/s12591-013-0161-y

Dubey, B., Sharma, S., Sinha, P., Shukla, J.B.: Modelling the depletion of forestry resources by population and population pressure augmented industrialization. Appl. Math. Model. 33, 3002–3014 (2009)

Dubey, B., Narayanan, A.S.: Modelling effects of industrialization, population and pollution on a renewable resource. Nonlinear Anal. RWA 11, 2833–2848 (2010)

Dubey, B.: Modeling effects of two interacting populations on a renewable resource. Nat. Res. Model. 25, 325–363 (2012)

Dubey, B., Upadhyay, R.K., Hussain, J.: Effects of industrialization and pollution on resource biomass: a mathematical model. Ecol. Model. 167, 83–95 (2003)

Garcia-Montiel, D.C., Scatena, F.N.: The effect of human activity on the structure and composition of a tropical forest in Puerto Rico. For. Ecol. Manag. 63, 57–78 (1994)

Environmental Impacts of Logging. http://www.forestsmonitor.org/fr/reports/550066/550083 . Accessed 12 Feb 2013.

Hassard, B.D., Kazarinoff, N.D., Wan, Y.H.: Theory and Applications of Hopf-bifurcation. Cambridge University Press, Cambridge (1981)

Jana, S., Chakraborty, M., Chakraborty, K., Kar, T.K.: Global stability and bifurcation of time delayed prey-predator system incorporating prey refuge. Math. Comput. Simul. 85, 57–77 (2012)

Kar, T.K., Pahari, U.K., Chaudhuri, K.S.: Conservation of a prey-predator fishery with predator self limitation based on continuous fishing effort. J. Appl. Math. Comput. 19(1–2), 311–326 (2005)

Misra, A.K., Lata, K.: Modeling the effect of time delay on the conservation of forestry biomass. Chaos Solitons Fractals 46, 1–11 (2013)

Naresh, R., Sundar, S., Shukla, J.B.: Modeling the effect of an intermediate toxic product formed by uptake of a toxicant on plant biomass. Appl. Math. Comput. 182, 151–160 (2006)

Repetto, R., Holmes, T.: The role of population in resource depletion in developing countries. Popul. Dev. Rev. 9(4), 609–632 (1983)

Shukla, J.B., Misra, O.P., Agarwal, M., Shukla, A.: Effect of pollution and industrial development on degration of biomass-resource: a mathematical model with reference to doon vally. Math. Comput. Model. 11, 910–913 (1988)

Shukla, J.B., Freedman, H.I., Pal, V.N., Misra, O.P., Agarwal, M., Shukla, A.: Degradation and subsequent regeneration of a forestry resource: a mathematical model. Ecol. Model. 44, 219–229 (1989)

Shukla, J.B., Dubey, B.: Modelling the depletion and conservation of forestry resource: effects of population and pollution. J. Math. Biol. 36, 71–94 (1997)

Shukla, J.B., Agrawal, A.K., Sinha, P., Dubey, B.: Modeling effects of primary and secondary toxicants on renewable resources. Nat. Res. Model. 16(1), 99–120 (2003)

Shukla, J.B., Lata, K., Misra, A.K.: Modeling the depletion of a renewable resource by population and industrialization: effect of technology on its conservation. Nat. Res. Model. 24, 242–267 (2011)