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- W135909841 abstract "This chapter discusses monotonically convergent upper and lower bounds for the classes of conflicting populations. There exist many examples of populations consisting of elements that influence one another through cooperation and competition. Important examples include chemical reactions, businesses, societies, biological species etc. The chapter discusses many of the existing mathematical models for these interactions including Volterra–Lotka–Verhulst. Efficient computational methods for such systems should not only preserve the positivity of the solutions but should provide iteratively improvable upper and lower bounds. One manner in which this can be accomplished for a subset of system is to construct antitone functional operators that are oscillatory contraction mappings. The chapter discusses a detailed chemical kinetics example and some remarks on the application of the method of lines to parabolic partial differential equations." @default.
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- W135909841 date "1977-01-01" @default.
- W135909841 modified "2023-09-26" @default.
- W135909841 title "MONOTONICALLY CONVERGENT UPPER AND LOWER BOUNDS FOR CLASSES OF CONFLICTING POPULATIONS" @default.
- W135909841 doi "https://doi.org/10.1016/b978-0-12-434150-0.50006-0" @default.
- W135909841 hasPublicationYear "1977" @default.
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