Open Access. Powered by Scholars. Published by Universities.®
Physical Sciences and Mathematics Commons™
Open Access. Powered by Scholars. Published by Universities.®
- Keyword
-
- Accuracy (1)
- Aggregation operator (1)
- Allee effect (1)
- Bionomic harvesting (1)
- Choquet integral (1)
-
- Cobb-Douglas production function (1)
- Commensal (1)
- Conditional tail expectation (1)
- Cramér’s theorem (1)
- Discrete-time (1)
- Eco-epidemiology (1)
- Estimation (1)
- Firm production model (1)
- Fourier transforms methods (1)
- Fuzzy decision making (1)
- Fuzzy geometric programming (1)
- Fuzzy mathematical programming (1)
- Generalized hyperbolic distribution (1)
- Generalized logistic distribution (1)
- Geometric programming technique (1)
- Global stability (1)
- Hesitant 2-tuple model (1)
- Host-parasitoid model (1)
- Inclusive growth (1)
- Individual model (1)
- Inequality gap (1)
- Insurance risk (1)
- Jalingo equation (1)
- Large deviations (1)
- Law of large numbers (1)
Articles 1 - 13 of 13
Full-Text Articles in Physical Sciences and Mathematics
(R1523) Abundant Natural Resources, Ethnic Diversity And Inclusive Growth In Sub-Saharan Africa: A Mathematical Approach, Juliet I. Adenuga, Kazeem B. Ajide, Anthonia T. Odeleye, Abayomi A. Ayoade
(R1523) Abundant Natural Resources, Ethnic Diversity And Inclusive Growth In Sub-Saharan Africa: A Mathematical Approach, Juliet I. Adenuga, Kazeem B. Ajide, Anthonia T. Odeleye, Abayomi A. Ayoade
Applications and Applied Mathematics: An International Journal (AAM)
The sub-Saharan African region is blessed with abundant natural resources and diverse ethnic groups, yet the region is dominated by the largest number of poor people worldwide due to inequitable distribution of national income. Existing statistics forecast decay in the quality of lives over the years compared to the continent of Asia that shares similar history with the region. In this paper, a-five dimensional first-order nonlinear ordinary differential equations was formulated to give insight into various factors that shaped dynamics of inclusive growth in sub-Saharan Africa. The validity test was performed based on ample mathematical theorems and the model was …
(R1505) A Note On Large Deviations In Insurance Risk, Stefan Gerhold
(R1505) A Note On Large Deviations In Insurance Risk, Stefan Gerhold
Applications and Applied Mathematics: An International Journal (AAM)
We study large and moderate deviations for an insurance portfolio, with the number of claims tending to infinity, without assuming identically distributed claims. The crucial assumption is that the centered claims are bounded, and that variances are bounded below. From a general large deviations upper bound, we obtain an exponential bound for the probability of the average loss exceeding a threshold. A counterexample shows that a full large deviation principle, including also a lower bound, does not follow from our assumptions. We argue that our assumptions make sense, in particular, for life insurance portfolios and discuss how to apply our …
Stability Of Modified Host-Parasitoid Model With Allee Effect, Özlem A. Gümüs, A. G. Maria Selvam, R. Janagaraj
Stability Of Modified Host-Parasitoid Model With Allee Effect, Özlem A. Gümüs, A. G. Maria Selvam, R. Janagaraj
Applications and Applied Mathematics: An International Journal (AAM)
This paper deals with a host-parasitoid model subject to Allee effect and its dynamical behavior. Steady state points of the proposed host-parasitoid model are computed. Stability properties are analyzed with eigen values of Jacobian matrix which are determined at the steady states. Theoretical findings are supported by numerical illustrations and enhanced by pictorial representations such as bifurcation diagrams, phase portraits and local amplifications for different parameter values. Existence of chaotic behavior in the system is established via bifurcation and sensitivity analysis of the system at the initial conditions. Various phase portraits are simulated for a better understanding of the qualitative …
Modeling The Water-Energy-Food Nexus In Obr-E’S: The Eight (8) Coordinates, S. Sani, A. Tumushabe, M. U. Osigwe, M. Mbatudde, A. S. Hassan, M. Edson
Modeling The Water-Energy-Food Nexus In Obr-E’S: The Eight (8) Coordinates, S. Sani, A. Tumushabe, M. U. Osigwe, M. Mbatudde, A. S. Hassan, M. Edson
Applications and Applied Mathematics: An International Journal (AAM)
The need to formulate quantifiers for water, energy and food (WEF) is necessary sequel to conservation issues worldwide. Existing methodologies on the WEF nexus appear less fitting in sustainability arguments because of incompleteness. This article analyzes the WEF nexus in open but restricted environments (ObR-E’s) with completeness assumption in form of the known inter-intra dependence of nexus elements for sustainability and better conservation practice. The analysis leads to the discovery of the Jalingo equation whose any non simplistic solution is a solution to the WEF problem in some ObR-E’s world wide. It is important to seek other non simplistic solutions …
Analysis Of An Eco-Epidemiological Model Under Optimal Control Measures For Infected Prey, Alfred Hugo, Emanuel Simanjilo
Analysis Of An Eco-Epidemiological Model Under Optimal Control Measures For Infected Prey, Alfred Hugo, Emanuel Simanjilo
Applications and Applied Mathematics: An International Journal (AAM)
This paper examines the analysis of an eco-epidemiological model with optimal control strategies for infected prey. A model is proposed and analyzed qualitatively using the stability theory of the differential equations. A local and global study of the model is performed around the disease-free equilibrium and the endemic equilibrium to analyze the global stability using the Lyapunov function. The time-dependent control is introduced into the system to determine the best strategy for controlling the disease. The results obtained suggested the separation of the infected population plays a vital role in disease elimination.
A Note From The Executive Editor, Yolander Youngblood
A Note From The Executive Editor, Yolander Youngblood
Pursue: Undergraduate Research Journal
No abstract provided.
Induced Hesitant 2-Tuple Linguistic Aggregation Operators With Application In Group Decision Making, Tabasam Rashid, Ismat Beg, Raja N. Jamil
Induced Hesitant 2-Tuple Linguistic Aggregation Operators With Application In Group Decision Making, Tabasam Rashid, Ismat Beg, Raja N. Jamil
Applications and Applied Mathematics: An International Journal (AAM)
In this article, hesitant 2-tuple linguistic arguments are used to evaluate the group decision making problems which have inter dependent or inter active attributes. Operational laws are developed for hesitant 2-tuple linguistic elements and based on these operational laws hesitant 2- tuple weighted averaging operator and generalized hesitant 2- tuple averaging operator are proposed. Combining Choquet integral with hesitant 2-tuple linguistic information, some new aggregation operators are defined, including the hesitant 2-tuple correlated averaging operator, the hesitant 2-tuple correlated geometric operator and the generalized hesitant 2-tuple correlated averaging operator. These proposed operators successfully manage the correlations among the elements. After …
Fitting Skew Distributions To Iranian Auto Insurance Claim Data, Ramin Kazemi, Abdollah Jalilian, Akram Kohansal
Fitting Skew Distributions To Iranian Auto Insurance Claim Data, Ramin Kazemi, Abdollah Jalilian, Akram Kohansal
Applications and Applied Mathematics: An International Journal (AAM)
In actuary, the derivation of loss distributions from insurance data is of great interest. Fitting an adequate distribution to real insurance data is not an easy task, mainly due to the nature of the data, which shows several features to be accounted for. Although, because of its stochastic and numerical simplicity, it is often assumed that the involved financial risk factors are normally distributed, but empirical studies indicate that most of financial risk factors have distributions with high peaks and heavy tails. Thus, it is important in the actuarial science to model insurance risks with skewed distributions. Claims size data …
Measurement Error Estimation Methods In Survey Methodology, Alireza Zahedian, Roshanak A. Saba
Measurement Error Estimation Methods In Survey Methodology, Alireza Zahedian, Roshanak A. Saba
Applications and Applied Mathematics: An International Journal (AAM)
One of the most important topics that are discussed in survey methodology is the accuracy of statistics or survey errors that may occur in the parameters estimation process. In statistical literature, these errors are grouped into two main categories: sampling errors and non-sampling errors. Measurement error is one of the most important non-sampling errors. Since estimating of measurement error is more complex than other types of survey errors, much more research has been done on ways of preventing or dealing with this error. The main problem associated with measurement error is the difficulty to measure or estimate this error in …
Cobb-Douglas Based Firm Production Model Under Fuzzy Environment And Its Solution Using Geometric Programming, Palash Mandal, Arindam Garai, Tapan K. Roy
Cobb-Douglas Based Firm Production Model Under Fuzzy Environment And Its Solution Using Geometric Programming, Palash Mandal, Arindam Garai, Tapan K. Roy
Applications and Applied Mathematics: An International Journal (AAM)
In this paper, we consider Cobb-Douglas production function based model in a firm under fuzzy environment, and its solution technique by making use of geometric programming. A firm may use many finite inputs such as labour, capital, coal, iron etc. to produce one single output. It is well known that the primary intention of using production function is to determine maximum output for any given combination of inputs. Also, the firm may gain competitive advantages if it can buy and sell in any quantities at exogenously given prices, independent of initial production decisions. On the other hand, in reality, constraints …
Outlier Detection And A Method Of Adjustment For The Iranian Manufacturing Establishment Survey Data, Zahra R. Ghahroodi, Taban Baghfalaki, Mojtaba Ganjali
Outlier Detection And A Method Of Adjustment For The Iranian Manufacturing Establishment Survey Data, Zahra R. Ghahroodi, Taban Baghfalaki, Mojtaba Ganjali
Applications and Applied Mathematics: An International Journal (AAM)
The role and importance of the industrial sector in the economic development necessitate the need to collect and to analyze accurate and timely data for exact planning. As the occurrence of outliers in establishment surveys are common due to the structure of the economy, the evaluation of survey data by identifying and investigating outliers, prior to the release of data, is necessary. In this paper, different robust multivariate outlier detection methods based on the Mahalanobis distance with blocked adaptive computationally efficient outlier nominators algorithm, minimum volume ellipsoid estimator, minimum covariance determinant estimator and Stahel-Donoho estimator are used in the context …
An Optimal Harvesting Strategy Of A Three Species Syn-Ecosystem With Commensalism And Stochasticity, M. N. Srinivas, A. Sabarmathi, K. S. Reddy, M. A. S. Srinivas
An Optimal Harvesting Strategy Of A Three Species Syn-Ecosystem With Commensalism And Stochasticity, M. N. Srinivas, A. Sabarmathi, K. S. Reddy, M. A. S. Srinivas
Applications and Applied Mathematics: An International Journal (AAM)
In this paper we have studied the stability of three typical species syn-ecosystem. The system comprises of one commensal S1 and two hosts S2 and S3 . Both S2 and S2 benefit S1 without getting themselves affected either positively or adversely. Further S2 is a commensal of S3 and S3 is a host of both S1 and S2. Limited resources have been considered for all the three species in this case. The model equations of the system constitute a set of three first order non-linear ordinary differential equations. …
On The Total Duration Of Negative Surplus Of A Risk Process With Two-Step Premium Function, Pavlina Jordanova
On The Total Duration Of Negative Surplus Of A Risk Process With Two-Step Premium Function, Pavlina Jordanova
Applications and Applied Mathematics: An International Journal (AAM)
We consider a risk reserve process whose premium rate reduces from cd to cu when the reserve comes above some critical value v. In the model of Cramer-Lundberg with initial capital u ≥ 0, we obtain the probability that ruin does not occur before the first up-crossing of level v. When u < v, following H. Gerber and E. Shiu (1997), we derive the probability that starting with initial capital u ruin occurs and the severity of ruin is not bigger than v. Further we express the probability of ruin in the two step premium function model - ψ (u,v), by the last two probabilities. Our assumptions imply that the surplus process will go to infinity almost surely. This entails that the process will stay below zero only temporarily. We derive the distribution of the total duration of negative surplus and obtain its Laplace transform and mean value. As a consequence of these results, under certain conditions in the Model of Cramer-Lundberg we obtain the expected value of the severity of ruin. In the end of the paper we give examples with exponential claim sizes.