scholarly journals Different Solution Strategies for Solving Epidemic Model in Imprecise Environment

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-18 ◽  
Author(s):  
Animesh Mahata ◽  
Sankar Prasad Mondal ◽  
Ali Ahmadian ◽  
Fudiah Ismail ◽  
Shariful Alam ◽  
...  
Keyword(s):  
Differential Equation ◽  
Differential Inclusion ◽  
Epidemic Model ◽  
Numerical Results ◽  
Fuzzy Differential Equation ◽  
Extension Principle ◽  
Solution Strategy ◽  
Sis Model ◽  
Solution Strategies ◽  
Fuzzy Derivative

We study the different solution strategy for solving epidemic model in different imprecise environment, that is, a Susceptible-Infected-Susceptible (SIS) model in imprecise environment. The imprecise parameter is also taken as fuzzy and interval environment. Three different solution procedures for solving governing fuzzy differential equation, that is, fuzzy differential inclusion method, extension principle method, and fuzzy derivative approaches, are considered. The interval differential equation is also solved. The numerical results are discussed for all approaches in different imprecise environment.

Revisiting albedo from a fuzzy perspective

Kybernetes ◽  
2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Morteza Pakdaman ◽  
Majid Habibi Nokhandan ◽  
Yashar Falamarzi
Keyword(s):  
Differential Equation ◽  
Energy Balance ◽  
Fuzzy Number ◽  
Climate Models ◽  
Energy Balance Model ◽  
Fuzzy Differential Equation ◽  
Balance Model ◽  
Content Type ◽  
Fuzzy Energy ◽  
Fuzzy Derivative

PurposeThe aim of this paper is to revisit the albedo for uncertainty. The albedo is considered as a fuzzy value due to some realistic reasons which they will be discussed in details. After defining an appropriate uncertain albedo by using fuzzy set theory, the related energy balance model is also redefined as a fuzzy differential equation by using the concept of fuzzy derivative.Design/methodology/approachThe well-known Earth energy balance model is redefined as a fuzzy differential equation by using the concept of fuzzy derivative. Thus, instead of an ordinary differential equation, a fuzzy differential equation arises which it's solution procedure will be discussed in details.FindingsResults indicate that the fuzzy uncertainty for albedo causes more real results after solving the fuzzy energy balance equation. Considering albedo as a fuzzy number is more realistic than considering a single certain number for albedo of a surface. This is due to this fact that the Earth's surface coverage is not crisp and the boundaries of different types of lands are not consistent. The proposed approach of this paper can help us to provide more realistic climate models and construct dynamical models which can model the albedo based on its variability.Originality/valueIn this paper, we defined fuzzy energy balance model as a fuzzy differential equation for the first time. We also, considered albedo as a fuzzy number which is another novel approach.

scholarly journals INITIAL-VALUED FIRST-ORDER FUZZY DIFFERENTIAL EQUATION IN BI-LEVEL INVENTORY MODEL WITH FUZZY DEMAND

2008 ◽  
Vol 13 (4) ◽  
pp. 493-512 ◽  
Author(s):  
Barun Das ◽  
Nirmal Kumar Mahapatra ◽  
Manoranjan Maiti
Keyword(s):  
Differential Equation ◽  
Time Dependent ◽  
Fuzzy Differential Equation ◽  
Fuzzy Decision Making ◽  
Extension Principle ◽  
Selling Price ◽  
Inventory Problem ◽  
Fuzzy Decision ◽  
Eoq Model ◽  
Multi Objective Genetic Algorithm

In the present paper, two methods for the solution of an initial valued first ordered fuzzy differential equation are presented and applied in a fuzzy EOQ model. The constructed model is a bi‐level inventory problem involving wholesaler‐retailers‐customers. The wholesaler buys and sells the item instantaneously to several retailers. In the next level, the retailers sell the units to customers with a time dependent imprecise demand, which introduce the fuzzy nature in the differential equation. The selling price of the item is a step‐wise time dependent decreasing function. The fuzzy objectives are transformed into crisp one following fuzzy extension principle and centroid formula. The model is illustrated through Interactive Fuzzy Decision Making (IFDM) and Multi Objective Genetic Algorithm (MOGA) and the results from two methods are compared.

Solution of Some Differential Equation in Fuzzy Environment by Extension Principle Method and Its Application in Biomathematics

2016 ◽  
pp. 413-440
Author(s):  
Sankar Prasad Mondal
Keyword(s):  
Differential Equation ◽  
Mathematical Biology ◽  
Population Model ◽  
Fuzzy Differential Equation ◽  
Extension Principle ◽  
Uncertain Environments ◽  
Science And Engineering ◽  
New Developments ◽  
Fuzzy Environment ◽  
Predator Model

The concept of fuzzy differential equations is very important for new developments of model in various fields of science and engineering problems in uncertain environments because this theory represent a natural way to modeling dynamical system under uncertain environment. In this way we can modeled mathematical biology problem associated with differential equation in fuzzy environment and solved them. In this chapter we solve two mathematical biology models which are taken in fuzzy environment. A one species prey predator model is considered with fuzzy initial data. Whereas an insect population model are described with fuzzy initial value. The solution procedures of the fuzzy differential equation are taken as extension principle method.

The Solution Strategy as an Indicator of the Developmental Stage of Preschool Children’s Mental-Rotation Ability

2010 ◽  
Vol 31 (2) ◽  
pp. 95-100 ◽  
Author(s):  
Claudia Quaiser-Pohl ◽  
Anna M. Rohe ◽  
Tobias Amberger
Keyword(s):  
Preschool Children ◽  
Mental Rotation ◽  
Latent Class ◽  
Preschool Age ◽  
Stage Model ◽  
Solution Strategy ◽  
Thinking Aloud ◽  
Transition Analysis ◽  
Solution Strategies ◽  
Close Relationship

The solution strategies of preschool children solving mental-rotation tasks were analyzed in two studies. In the first study n = 111 preschool children had to demonstrate their solution strategy in the Picture Rotation Test (PRT) items by thinking aloud; seven different strategies were identified. In the second study these strategies were confirmed by latent class analysis (LCA) with the PRT data of n = 565 preschool children. In addition, a close relationship was found between the solution strategy and children’s age. Results point to a stage model for the development of mental-rotation ability as measured by the PRT, going from inappropriate strategies like guessing or comparing details, to semiappropriate approaches like choosing the stimulus with the smallest angle discrepancy, to a holistic or analytic strategy. A latent transition analysis (LTA) revealed that the ability to mentally rotate objects can be influenced by training in the preschool age.

scholarly journals Kestabilan Model Epidemi SEIR Dengan Laju Insidensi

2015 ◽  
Vol 10 (2) ◽  
pp. 74
Author(s):  
Roni Tri Putra ◽  
Sukatik - ◽  
Sri Nita
Keyword(s):  
Differential Equation ◽  
Differential Equations ◽  
Incidence Rate ◽  
Epidemic Model ◽  
Existence And Uniqueness ◽  
Equation System ◽  
Differential Equation System ◽  
Equilibrium Existence

In this paper, it will be studied stability for a SEIR epidemic model with infectious force in latent, infected and immune period with incidence rate. From the model it will be found investigated the existence and uniqueness solution  of points its equilibrium. Existence solution of points equilibrium proved by show its differential equations system of equilibrium continue, and uniqueness solution of points equilibrium proved by show its differential equation system of equilibrium differentiable continue. 

scholarly journals Stability in mean for fuzzy differential equation

2017 ◽  
Vol 13 (5) ◽  
pp. 1-11
Author(s):  
Cuilian You ◽  
◽  
Yangyang Hao
Keyword(s):  
Differential Equation ◽  
Fuzzy Differential Equation

Inventory model of a deteriorating item with price and credit linked fuzzy demand : A fuzzy differential equation approach

OPSEARCH ◽  
2013 ◽  
Vol 51 (3) ◽  
pp. 321-353 ◽  
Author(s):  
Partha Guchhait ◽  
Manas Kumar Maiti ◽  
Manoranjan Maiti
Keyword(s):  
Differential Equation ◽  
Inventory Model ◽  
Fuzzy Differential Equation ◽  
Equation Approach ◽  
Fuzzy Demand
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