Almbrok Hussin Alsonosi OmarSebha University · Mathematics Department, Faculty of Sciences, Libya, Sebha
Almbrok Hussin Alsonosi Omar
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When the initial conditions of differential equations are random in natural, mathematical description of the solution in terms of initial conditions must be modified by considering the initial conditions as random variable having a particular statistical distribution. In this paper, the fifth order improved Runge-Kutta method (IRK5) is modified for...
Uncertainty in general can be in the form of numeric or non-numeric, where the latter is qualitative and the former quantitative in nature. In numerical quantities, uncertainty can be as a result of unclear information, whereby fuzzy set theory is useful. In this paper we will use the prey-predator model with the ratiodependent functional response...
When the initial state of an epidemic is uncertain, mathematical descriptions of that epidemic in terms of initial conditions must be modified by regarding these initial conditions as random variables having particular distribution functions. In this paper we assume a beta distribution as the initial proportion of infected in an SIR epidemic model....
Using fuzzy differential equations is a rational way of modeling a dynamic system under possibilistic uncertainty. In modeling real-world phenomena, fuzzy initial value problems (FIVPs) appear naturally. In this paper, we propose a modiﬁed fourth-order Runge–Kutta method to solve FIVPs. The method is adopted to solve the dependency problem in fuzzy...
Differential model of dynamical predator-prey system contains some factors that constitute a formal description of features of the interaction between the predator and its prey. The initial population sizes are the factors which affect the behaviour of the predator-prey interaction. These factors may not be uniquely defined. In this paper we study...