Modeling effects of primary and secondary toxicants on renewable resources

Natural Resource Modeling

Volumn 16, Issue 1, 2003, Pages 99-120

  Shukla, J B ^a   Agrawal, A K ^a   Sinha, P ^a   Dubey, B ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY KANPUR   (India)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 19344370684     PISSN: 08908575     EISSN: 19397445     Source Type: Journal    
DOI: 10.1111/j.1939-7445.2003.tb00104.x     Document Type: Article

References (22)

1. A.K. Agrawal, P. Sinha, B. Dubey and J.B. Shukla [2000], Effects of Two or More Toxicants on a Biological Species: A Non-Linear Mathematical Model and Its Analysis, in Mathematical Analysis and Applications Narosa Publ. House, New Delhi, India, 97–113.
2. B. Buonomo, A. Di Liddo and I. Sgura [1999], A Diffusive Convective Model for the Dynamics of Population-Toxicant Interactions: Some Analytical and Numerical Results, Math. Biosci. 157, 37–64.
3. J.T. De Luna and T.G. Hallam [1987], Effect of Toxicants on Population: A Qualitative Approach IV. Resource Consumer Toxicant Models, Ecol. Model. 35, 249–273.
4. B. Dubey and J. Hussain [2000], Modelling the Interaction of Two Biological Species in a Polluted Environment, J. Math. Anal. Appl. 246, 58–79.
5. H.I. Freedman and J.B. Shukla [1991], Models for the Effect of Toxicant in Single-Species and Predator-Prey Systems, J. Math. Biol. 30, 15–30.
6. H.I. Freedman and J.W.H. So [1985], Global Stability and Persistence of Simple Food Chains, Math. Biosci. 76, 69–86.
7. T.G. Hallam and C.E. Clark [1982], Nonautonomous Logistic Equation as Models of Population in a Deteriorating Environment, J. Theor. Biol. 93, 303–311.
8. T.G. Hallam, C.E. Clark and G.S. Jordan [1983a], Effects of Toxicants on Populations: A Qualitative Approach II. First Order Kinetics, J. Math. Biol. 18, 25–37.
9. T.G. Hallam, C.E. Clark and R.R. Lassiter [1983b], Effects of Toxicants on Populations: A Qualitative Approach I. Equilibrium Environmental Exposure, Ecol. Model. 18, 291–304.
10. T.G. Hallam and J.T. De Luna [1984], Effects of Toxicants on Populations: A Qualitative Approach III. Environmental and Food Chain Pathways, J. Theor. Biol. 109, 411–429.
11. S.B. Hsu, Y.S. Li and P. Waltman [2000], Competition in the Presence of a Lethal External Inhibitor, Math. Biosci. 167, 177–199.
12. L. Huaping and Zhien Ma [1991], The Threshold of Survival for System of Two Species in a Polluted Environment, J. Math. Biol. 30, 49–61.
13. T.T. Kozlowski [1975], Responses of Plants to Air Pollution, Academic Press, New York.
14. T.T. Kozlowski [1980], Impacts of Air Pollution on Forest Ecosystem, Bioscience 30, 88–93.
15. J. La Salle and S. Lefschetz [1961], Stability by Lyapunov's Direct Method with Applications, Academic Press, New York.
16. S.A. Patin [1982], Pol lution and the Biological Resource of the Ocean, Butter Worth Scientific, London.
17. A. Shangbing [2001], Periodic Solutions in a Model of Competition between Plasmid-Bearing and Plasmid-Free Organisms in a Chemostat with an Inhibitor, J. Math. Biol. 42, 71–94.
18. J.B. Shukla and A.K. Agrawal [1999], Some Mathematical Models in Ecotoxicol-ogy: Effects of Toxicants on Biological Species, Sadhana 24, 25–40.
19. J.B. Shukla and B. Dubey [1996], Simultaneous Effects of Two Toxicants on Biological Species: A Mathematical Model, J. Biol. Systems 4, 109–130.
20. J.B. Shukla and B. Dubey [1997], Modelling the Depletion and Conservation of Forestry Resources: Effects of Population and Pollution, J. Math. Biol. 36, 71–94.
21. J.B. Shukla, H.I. Freedman, V.N. Pal, O.P. Misra, M. Agrawal and A. Shukla [1989], Degradation and Subsequent Regeneration of a Forestry Resource: A Mathematical Model, Ecol. Model. 44, 219–229.
22. D.M. Thomas, T.W. Snell and M. Jaffer [1996], A Control Problem in a Polluted Environment, Math. Biosci. 133, 139–163.