Periodic solutions of predator-prey equations simulating an immune response. I

DOI10.1016/0025-5564(74)90066-2zbMath0303.92006OpenAlexW4254201582WikidataQ114204209 ScholiaQ114204209MaRDI QIDQ1216247

George H. jun. Pimbley

Publication date: 1974

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0025-5564(74)90066-2

Mathematics Subject Classification ID

Population dynamics (general) (92D25) General biology and biomathematics (92B05) General theory for ordinary differential equations (34A99)

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The dynamics of growth-factor-modified immune response to cancer growth: One dimensional models ⋮ Uniqueness of limit cycles in a predator-prey model simulating an immune response ⋮ Bifurcation behavior of periodic solutions for an immune response problem ⋮ Periodic solutions of third order predator-prey equations simulating an immune response ⋮ Nonlinear correction to Lotka-Volterra oscillation in a prey-predator system ⋮ Global existence of positive periodic solutions of periodic predator-prey systems with infinite delays ⋮ A threshold model simulating humoral immune response to replicating antigens ⋮ Graphical stability, enrichment, and pest control by a natural enemy ⋮ Convergence of a numerical scheme for a mixed hyperbolic-parabolic system in two space dimensions ⋮ Limit cycles in Kolmogorov-type model and its application in immunology

Cites Work

• Bifurcating time periodic solutions and their stability
• Predator-prey equations simulating an immune response
• The equations of growth
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