The behavior of logistic equation with alley effect in fuzzy environment: fuzzy differential equation approach

In this paper a fuzzy logistic equation with alley effect is introduced by considering some parameter as fuzzy numbers. Due to presence of the fuzzy number the corresponding differential equation in logistic equation model with alley effect becomes fuzzy differential equation. Considering generalized Hukuhara derivative approach the fuzzy logistic equation converted to system of two crisp differential equations. We obtain the conditions of stability criterion for different cases. Different numerical examples are given to support our work

Influence of impreciseness in designing tritrophic level complex food chain modeling in interval environment

Abstract In this paper, we construct a tritrophic level food chain model considering the model parameters as fuzzy interval numbers. We check the positivity and boundedness of solutions of the model system and find out all the equilibrium points of the model system along with its existence criteria. We perform stability analysis at all equilibrium points of the model system and discuss in the imprecise environment. We also perform meticulous numerical simulations to study the dynamical behavior of the model system in detail. Finally, we incorporate different harvesting scenarios in the model system and deploy maximum sustainable yield (MSY) policies to determine optimum level of harvesting in the imprecise environment without putting any unnecessary extra risk on the species toward its possible extinction

Different linear and non-linear form of trapezoidal neutrosophic numbers, de-neutrosophication techniques and its application in time-cost optimization technique, sequencing problem

In this research article, we envisage the neutrosophic number from various distinct rational perspectives & viewpoints to give it a look of a conundrum. We focused & analysed various types of linear and non-linear generalized trapezoidal neutrosophic numbers which serves an indispensable role for uncertainty concept related problem. We also introduce the idea of de-neutrosofication for trapezoidal neutrosophic number using an influx of different logical & innovative methods by which we move with a manifesto to convert a neutrosophic number into a crisp number. Using this concept of de-neutrosophication, we analyze some real-life problem like networking Crash model problem and job-sequencing problem of operation research field when the numbers are in trapezoidal neutrosophic ambience. We also compare our specified result with previously defined score and accuracy function and try to present some interesting and better result without any possible fiasco. This noble thought will help us to solve a plethora of daily life problems in neutrosophic arena

A study on imprecise mathematical model for optimal management and utilization of renewable resource by population

The development and survival of the biological population depend heavily on the availability of food and other materials that may be produced from renewable resources. In real life situation the information reported about the parameters of ecological model system may not be precise due to various issues like insufficient data, error in data collection, wrongly measurement etc. To address all of these challenges, an ecological model system must be developed in an ambiguous setting where the ecological parameters are handled as different kinds of fuzzy numbers. In this article, we present an imprecise mathematical model for optimal management and utilization of renewable resources by population. We introduce the model system in interval environment and apply a parametric form of interval number which makes different form of crisp ecological model. The positivity and boundedness of the proposed model system are checked. The stability criterion of feasible equilibrium points and bionomical equilibrium have been discussed. Moreover maximum sustainable strategy and optimal harvesting strategy are analyzed using interval number. Numerical discussion are provided to verify the result of the proposed system

Different Solution Strategies for Solving Epidemic Model in Imprecise Environment

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

Analysis and interpretation of Malaria disease model in crisp and fuzzy environment

Malaria is a mosquito-borne infectious disease caused by the Plasmodium parasite. It is prevalent in many regions of the globe, particularly in sub-Saharan Africa, where it is a major cause of illness and death. Mathematical models can aid in understanding the dynamics of malaria transmission and guiding disease-control interventions. The authors discuss a mathematical model and focus on severely infected people of malaria transmission in both crisp and fuzzy environments in this article. A parameter pertaining to the cases where relapse of the disease has occurred is considered. This study discusses the stability of the model in both crisp and fuzzy environments and also considered numerical illustrations to validate the said model

Mechanical and Wear Behaviour of Hot-Pressed 304 stainless Steel Matrix Composites Containing TiB2 Particles

In the present article, mechanical and wear behaviour of hot-pressed 304 stainless steel matrix composites containing 2 and 4 vol% TiB2 particles was investigated. A density of over 92% was achieved at optimum hot-pressing temperature and TiB2 particles' content. Microhardness and yield strength of the composites were found to be improved remarkably as compared to their unreinforced counterpart. The enhancement of mechanical properties of the composites was discussed in light of their microstructural aspects and different possible strengthening mechanism models. Taylor strengthening was found to be dominant strengthening mechanism as compared to Orowan strengthening and load-bearing effect. Dry sliding wear behaviour was also investigated under load of 35 N at sliding speed 0.3 m/s. The wear resistance of the composites was found to be improved owing to uniform distribution of hard TiB2 particles. Based on our findings, it was concluded that processing parameters and amount of TiB2 have significant influence on mechanical and wear behaviour of steel matrix composites