Ziebur's matrix equation for population growth

Extended Triangular Operational Matrix For Solving Fractional Population Growth Model

  In this paper, we apply the extended triangular operational matrices of fractional order to solve the fractional voltrra model for population growth of a species in a closed system. The fractional derivative is considered in the Caputo sense. This technique is based on generalized operational matrix of triangular functions. The introduced method reduces the proposed problem for solving a syst...

Differential Equation of Sensitivity Matrix for Final Velocity Constraint

Sinc operational matrix method for solving the Bagley-Torvik equation

The aim of this paper is to present a new numerical method for solving the Bagley-Torvik equation. This equation has an important role in fractional calculus. The fractional derivatives are described based on the Caputo sense. Some properties of the sinc functions required for our subsequent development are given and are utilized to reduce the computation of solution of the Bagley-Torvik equati...

ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION

The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation  

On dispersal and population growth for multistate matrix models

To describe the dynamics of stage-structured populations with m stages living in n patches, we consider matrix models of the form SD, where S is a block diagonal matrix with n× n column substochastic matrices S1, . . . , Sm along the diagonal and D is a block matrix whose blocks aren× n nonnegative diagonal matrices. The matrix S describes movement between patches and the matrix D describes gro...