![]() ![]() The first will be unrealistically simple. We will concentrate on just a couple of models. Why analyze predators and prey jointly?It seems reasonable to expect that abundant prey lead to increased predator numbers and that the converse is true for prey. Now we will turn to the classic Lotka-Volterra equations for jointly analyzing predator and prey dynamics. Last time I introduced the topic of predation (types, importance and indirect effects) and explored:ġ) Mesopredator effects on birds in California scrublandsĢ) Functional and numerical responses and the case history of Bay-breasted Warblers as predators of spruce budworm Return to Main Index page Go back to notes for Lecture 22, 13-Mar Go forward to lecture 24, 25-Mar-13 J.PopEcol Lect 23 Lecture notes for ZOO 4400/5400 Population Ecology Yadav, S., Kumar, V.: A prey–predator model and control of a nematodes pest using control in banana: Mathematical modeling and qualitative analysis. Yadav, S., Kumar, V.: Study of a prey-predator model with preventing crop pest using natural enemies and control. ![]() Van den Bosh, R., Messenger, P.S., Gutierrez, A.P.: An Introduction to Biological Control. Van Driesche, R.G., Bellows, J.T.S.: Biological Control. Kumar, V., Srinivasan, B.: A novel adaptive mesh strategy for singularly perturbed parabolic convection diffusion problems. Kumar, V., Mehra, M.: Wavelet optimized finite difference method using interpolating wavelets for solving singularly perturbed problems. Thind, Singh, T.: Perspectives on crop protection in India. Sasmal, S.K., Mandal, D.S., Chattopadhyay, J.: A predator-pest model with Allee effect and pest culling and additional food provision to the predator-application to pest control. Published by Department of Agriculture & Cooperation, Govt. Report of a panel on the relationship between public exposure to pesticides and cancer. Ritter, L.: For the ad hoc panel on pesticides and cancer. Rafikov, M., Balthazar, J.M., von Bremen, H.F.: Mathematical modeling and control of population systems: applications in biological pest control. Gordon and Breach Science Publishers (1986) Pontryagin, L.S., Boltyanskii, V.G., Gamkrelidze, R.V., Mishchenko, E.F.: The Mathematical Theory of Optimal Processes. Nassir, S.A.L.: The dynamics and optimal control of a prey-predator system. McCalmont, J.P., Hastings, A., McNamara, N.P., Richter, G.M., Robson, P., Donnison, I.S., Clifton, B.J.: Environmental costs and benefits of growing Miscanthus for bioenergy in the UK. Mehra, M., Kumar, V.: Fast wavelet-Taylor Galerkin method for linear and non-linear wave problems. Mehra, M., Mallik, R.K.: Solutions of differential difference equations arising from mathematical models of granulocytopoiesis. Mathematical and Computational Biology Series. ![]() Lenhart, S., Workman, J.T.: Optimal Control Applied to Biological Models. Kant, S., Kumar, V.: Analysis of an eco–epidemiological model with migrating and refuging prey. Kar, T.K., Batabyal, A.: Stability analysis and optimal control of an SIR epidemic model with vaccination. 2(1), 1–12 (2009)įleming, W.H., Rishel, R.W.: Deterministic and Stochastic Optimal Control. 23, 11–20 (1997)Īktar, M.W., Sengupta, D., Chowdhury, A.: Impact of pesticides use in agriculture: their benefits and hazards. 217, 8778–8792 (2011)ĭanca, M., Codreanu, S., Bako, B.: Detailed analysis of a nonlinear prey–predator model. Ginn, Boston (1982)Ĭhakraborty, K., Chakraborty, M., Kar, T.: Optimal control of Harvest and bifurcation of a prey–predator model with stage structure. 52, 437–457 (2017)Īrora, C., Kumar, V.: Dynamics of a high-dimensional stage-structured prey-predator model. Chaos, Solitons Fractals 146, 110869 (2021)Īnguelov, R., Dufourd, C., Dumont, Y.: Mathematical model for pest-insect control using mating disruption and trapping. 461, 59–67 (2019)Ībraha, T., Basir, F.A., Obsu, L.L., Torres, D.F.M.: Pest control using farming awareness: impact of time delays and optimal use of biopesticides. Al Basir, F., Banerjee, A., Ray, S.: Role of farming awareness in crop pest management-a mathematical model. ![]()
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