Population Growth in a Closed System
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Publication:3968792
DOI10.1137/1025005zbMath0502.92012OpenAlexW2007111134MaRDI QIDQ3968792
Publication date: 1983
Published in: SIAM Review (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/1025005
population growthVolterra modelsingular perturbation techniquesclosed systemmodel of the accumulated effect of toxins
Integro-ordinary differential equations (45J05) Population dynamics (general) (92D25) Numerical methods for integral equations, integral transforms (65R99)
Related Items (17)
A perturbation-based approach for solving fractional-order Volterra–Fredholm integro differential equations and its convergence analysis ⋮ Analytic approximation of Volterra's population model ⋮ Approximations of the nonlinear Volterra's population model by an efficient numerical method ⋮ Solving Volterra's population growth model of arbitrary order using the generalized fractional order of the Chebyshev functions ⋮ Approximate solution of an integro‐differential equation ⋮ Positivity and boundedness preserving nonstandard finite difference schemes for solving Volterra's population growth model ⋮ Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system ⋮ Hybrid Fibonacci wavelet method to solve fractional‐order logistic growth model ⋮ Daubechies wavelet scaling function approach to solve Volterra's population model ⋮ A novel application of radial basis functions for solving a model of first-order integro-ordinary differential equation ⋮ A class of second-order and dynamically consistent nonstandard finite difference schemes for nonlinear Volterra's population growth model ⋮ Analytical study of nonlinear fractional-order integrodifferential equation: revisit Volterra's population model ⋮ A method for solving nonlinear Volterra's population growth model of noninteger order ⋮ An efficient numerical method for a class of nonlinear Volterra integro-differential equations ⋮ Numerical approximations for population growth model by rational Chebyshev and Hermite functions collocation approach: A comparison ⋮ Rational pseudospectral approximation to the solution of a nonlinear integro-differential equation arising in modeling of the population growth ⋮ Wavelet based iterative methods for a class of 2D-partial integro differential equations
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