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- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_16%3A_Antagonistic_Interactions/16.1%3A_PredationPredation is a biological interaction where one organism, the predator, kills and eats another organism, its prey.
- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_16%3A_Antagonistic_Interactions/16.2%3A_Quantifying_Predator-Prey_DynamicsAs in the prey model, the number of prey caught will be pN prey N pred . The growth of the predator population will depend on this number, and on the efficiency with which predators convert consumed p...As in the prey model, the number of prey caught will be pN prey N pred . The growth of the predator population will depend on this number, and on the efficiency with which predators convert consumed prey into predator offspring (c for conversion). Note that this is also a constant, and like the solution for the prey population, it does not specify the equilibrium size of the predator population, only the size of the prey population at which the predators are at equilibrium.
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/15%3A_Competition/15.05%3A_Quantifying_Competition_Using_the_Lotka-Volterra_ModelNote the subscripts on the competition coefficients: α 12 expresses the effect of one member of Population 2 on the growth rate of Population 1; α 21 expresses the effect of one member of Population 1...Note the subscripts on the competition coefficients: α 12 expresses the effect of one member of Population 2 on the growth rate of Population 1; α 21 expresses the effect of one member of Population 1 on the growth rate of Population 2. If we solve for these intercepts, we wind up with the following two coordinates for Population 1: [0, K 1 /a 12 ] (setting x, or the size of Population 1, to 0) and [K 1 , 0] (setting y, or the population size of Population 2, to 0).
- https://bio.libretexts.org/Workbench/General_Ecology_Ecology/Chapter_15%3A_Competition/15.5%3A_Quantifying_Competition_Using_the_Lotka-Volterra_ModelNote the subscripts on the competition coefficients: α 12 expresses the effect of one member of Population 2 on the growth rate of Population 1; α 21 expresses the effect of one member of Population 1...Note the subscripts on the competition coefficients: α 12 expresses the effect of one member of Population 2 on the growth rate of Population 1; α 21 expresses the effect of one member of Population 1 on the growth rate of Population 2. If we solve for these intercepts, we wind up with the following two coordinates for Population 1: [0, K 1 /a 12 ] (setting x, or the size of Population 1, to 0) and [K 1 , 0] (setting y, or the population size of Population 2, to 0).
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/16%3A_Antagonistic_Interactions/16.01%3A_PredationA range of mathematical models have been developed by relaxing the assumptions made in the Lotka-Volterra model; these variously allow animals to have geographic distributions, or to migrate; to have ...A range of mathematical models have been developed by relaxing the assumptions made in the Lotka-Volterra model; these variously allow animals to have geographic distributions, or to migrate; to have differences between individuals, such as sexes and an age structure, so that only some individuals reproduce; to live in a varying environment, such as with changing seasons (Cushing, 2005; Thieme, 2003); and analyzing the interactions of more than just two species at once.
- https://bio.libretexts.org/Courses/Gettysburg_College/01%3A_Ecology_for_All/16%3A_Antagonistic_Interactions/16.02%3A_Quantifying_Predator-Prey_DynamicsAs in the prey model, the number of prey caught will be pN prey N pred . The growth of the predator population will depend on this number, and on the efficiency with which predators convert consumed p...As in the prey model, the number of prey caught will be pN prey N pred . The growth of the predator population will depend on this number, and on the efficiency with which predators convert consumed prey into predator offspring (c for conversion). Note that this is also a constant, and like the solution for the prey population, it does not specify the equilibrium size of the predator population, only the size of the prey population at which the predators are at equilibrium.
