Mathematical models in applied ecology

Since the 1950s there has been a growing interest in mathematical models as guides to harvesting fish and game or controlling pests and vector borne disease. So far there are few indications that we can use such models in day-to-day ecological management, but experience confirms that they have a powerful role to play in developing management strategies and in the formulation of policy.

[1]  A. Quételet,et al.  Correspondance mathématique et physique , 1825 .

[2]  RONALD ROSS,et al.  Some Quantitative Studies in Epidemiology , 1911, Nature.

[3]  H. P. Hudson,et al.  An Application of the Theory of Probabilities to the Study of a Priori Pathometry.--Part III , 1917 .

[4]  M. Graham,et al.  Modern Theory of Exploiting a Fishery, and Application to North Sea Trawling , 1935 .

[5]  P. H. Leslie.  SOME FURTHER NOTES ON THE USE OF MATRICES IN POPULATION MATHEMATICS , 1948 .

[6]  H. Gordon.  The Economic Theory of a Common-Property Resource: The Fishery , 1954, Journal of Political Economy.

[7]  M. B. Schaefer,et al.  Some Considerations of Population Dynamics and Economics in Relation to the Management of the Commercial Marine Fisheries , 1957 .

[8]  G. Macdonald.  The Epidemiology and Control of Malaria. , 1957 .

[9]  F. David,et al.  On the Dynamics of Exploited Fish Populations , 1959, Fish & Fisheries Series.

[10]  G. Macdonald.  Epidemiologic models in studies of vectorborne diseases. , 1961, Public health reports.

[11]  Kenneth E. F. Watt,et al.  Dynamic Programming, “Look Ahead Programming”, and the Strategy of Insect Pest Control , 1963, The Canadian Entomologist.

[12]  G Macdonald,et al.  The dynamics of helminth infections, with special reference to schistosomes. , 1965, Transactions of the Royal Society of Tropical Medicine and Hygiene.

[13]  R. Bellman.  Dynamic programming. , 1957, Science.

[14]  R. Stacy,et al.  Computers in biomedical research , 1967 .

[15]  Kenneth E. F. Watt,et al.  Ecology and Resource Management , 1968 .

[16]  G. Macdonald,et al.  The dynamics of malaria. , 1968, Bulletin of the World Health Organization.

[17]  Economic project evaluation with Philippine cases , 1969 .

[18]  A. Fenwick.  The costs and a cost-benefit analysis of an S. mansoni control programme on an irrigated sugar estate in northern Tanzania. , 1972, Bulletin of the World Health Organization.

[19]  J. N. R. Jeffers,et al.  Mathematical Models in Ecology. , 1972 .

[20]  W. H. Wright.  A consideration of economic impact of schistosomiasis. , 1972, Bulletin of the World Health Organization.

[21]  A. Fenwick,et al.  The effect of Schistosoma mansoni infection of the productivity of cane cutters on a sugar estate in Tanzania. , 1972, Bulletin of the World Health Organization.

[22]  C. S. Holling.  Resilience and Stability of Ecological Systems , 1973 .

[23]  J. Beddington,et al.  356 NOTE: Optimum Age Specific Harvesting of a Population , 1973 .

[24]  Christine A. Shoemaker,et al.  Optimization of agricultural pest management III: results and extensions of a model , 1973 .

[25]  L. Anderson.  Optimum Economic Yield of a Fishery Given a Variable Price of Output , 1973 .

[26]  Ingemar Nåsell,et al.  The transmission dynamics of schistosomiasis , 1973 .

[27]  R. May,et al.  STABILITY IN INSECT HOST-PARASITE MODELS , 1973 .

[28]  A. Davis,et al.  Epidemiology and control of schistosomiasis (bilharziasis) , 1974 .

[29]  U. Regev,et al.  Optimal Agricultural Pest Management with Increasing Pest Resistance , 1974 .

[30]  K Dietz,et al.  A malaria model tested in the African savannah. , 1974, Bulletin of the World Health Organization.

[31]  Richard A. Park,et al.  A generalized model for simulating lake ecosystems , 1974 .

[32]  William J. Reed,et al.  A stochastic model for the economic management of a renewable animal resource , 1974 .

[33]  P. W. Geier,et al.  Insects: Studies in Population Management. , 1974 .

[34]  J. Steele.  The Structure of Marine Ecosystems , 1974 .

[35]  Robert M. May,et al.  Ecological Strategies and Population Parameters , 1974, The American Naturalist.

[36]  J. Nájera.  A critical review of the field application of a mathematical model of malaria eradication. , 1974, Bulletin of the World Health Organization.

[37]  K. Watt.  7 – Critique and Comparison of Biome Ecosystem Modeling , 1975 .

[38]  C. R. Taylor,et al.  INSECTICIDE RESISTANCE AND THE EVALUATION OF CONTROL STRATEGIES FOR AN INSECT POPULATION , 1975, The Canadian Entomologist.

[39]  John M. Neuhold.  1 – Introduction to Modeling in the Biomes , 1975 .

[40]  G. Dalton,et al.  Study of agricultural systems , 1975 .

[41]  Asit K. Biswas.  Mathematical modelling and environmental decision-making , 1975 .

[42]  D. Cushing.  Fisheries resources of the sea and their management , 1975 .

[43]  T. Iles.  The Management of Marine Fisheries. , 1975 .

[44]  C. Clark,et al.  The economics of fishing and modern capital theory: A simplified approach☆ , 1975 .

[45]  I. Nåsell,et al.  A hybrid model of schistosomiasis with snail latency. , 1976, Theoretical population biology.

[46]  Colin W. Clark,et al.  Mathematical Bioeconomics: The Optimal Management of Renewable Resources. , 1993 .

[47]  J. Downhower,et al.  An evaluation of three biome programs. , 1976, Science.

[48]  W. G. Ruesink.  Status of the Systems Approach to Pest Management , 1976 .

[49]  I. Nåsell,et al.  On eradication of schistosomiasis. , 1976, Theoretical population biology.

[50]  R. Kelly.  1 – Conceptual Ecological Model of the Delaware Estuary , 1976 .

[51]  John H. Lawton,et al.  Concepts of Stability and Resilience in Predator-Prey Models , 1976 .

[52]  T. R. E. Southwood,et al.  A synoptic population model. , 1976 .

[53]  E. Lewis,et al.  Delay Time Models of Population Dynamics with Application to Schistosomiasis Control , 1976, IEEE Transactions on Biomedical Engineering.

[54]  Kenneth E. F. Watt,et al.  Why won't anyone believe us ? , 1977 .

[55]  H. Comins,et al.  The management of pesticide resistance. , 1977, Journal of theoretical biology.

[56]  H. Comins,et al.  The development of insecticide resistance in the presence of migration. , 1977, Journal of theoretical biology.

[57]  J. M. Cherrett,et al.  Origins of pest, parasite, disease and weed problems: The 18th Symposium of the British Ecological Society, Bangor, 12-14 April 1976 , 1977 .

[58]  P. A. Larkin.  An Epitaph for the Concept of Maximum Sustained Yield , 1977 .

[59]  Carl J. Walters,et al.  Differing Goals of Salmon Management on the Skeena River , 1977 .

[60]  Ralph L. Keeney,et al.  A Utility Function for Examining Policy Affecting Salmon on the Skeena River , 1977 .

[61]  D. Cushing,et al.  The ecology of the seas , 1978 .

[62]  B. C. Patten,et al.  Systems Analysis and Simulation in Ecology , 1978, IEEE Transactions on Systems, Man, and Cybernetics.