Plant-pathogen-herbivore model describe interaction between plants, pathogens and herbivores. Plants are invaded by pathogens and herbivores while the herbivores are harvested by natural enemies such as predators and human. On the other hand, the abundance of food does not guaran...
Open access
Research Article10.9734/jamcs/2022/v37i91711
We review Taylor approximation (TA), Padé approximation (PA), Restrictive Taylor approximation (RTA) and Restrictive Padé approximation (RPA). After comparing these four approximation methods with two other modified approximation methods: Modified Restrictive Taylor approximation...
Open access
Research Article10.9734/jamcs/2022/v37i930474
In order to study the characteristics of the problem design of mathematics textbooks in junior high school, this paper focuses on the comparative study on linear function sections of Chinese textbooks of people’ s edition (P1) and Japanese textbooks named New Mathematics 2 (J1)....
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Research Article10.9734/jamcs/2022/v37i930473
In this work we conceive a method of how the Lagrange multiplier of modified Variational Iteration Method can be defined from Laplace transform, And we use this technique to solve both differential equations and FDEs with initial value conditions, With Illustrative examples by ...
Open access
Research Article10.9734/jamcs/2022/v37i830472
In this paper we study Landau-Lifshitz equation which describe a nonlinear magnetic elastic in easy-axis ferromagnets. By means of numerical simulation a numerical solitonic solution to above mentioned equation with Standard Finite Difference (SFD) and NonStandard Finite Differen...
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Research Article10.9734/jamcs/2022/v37i830471
In this study, we derive a new representation for the Euler-Mascheroni constant and present various expressions for the classical Euler-Mascheroni constant related to the Riemann zeta function. Also, we proved that \(\gamma\) is not algebraic if the Schanuel conjecture is true.
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Research Article10.9734/jamcs/2022/v37i830470
Let Uq(f(K, J)) be an extended quantum enveloping algebra associated to sl2. In this paper, we display an equitable presentation for Uq(f(K, J)), in which all generators appear on a more equal footing. We also show that the equitable generators Y and Z are not invertible. Moreove...
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Research Article10.9734/jamcs/2022/v37i830469
In this study, a non-linear system of ordinary differential equation model that describe the dynamics of malaria disease transmission is derived and analyzed. Conditions are derived from the existence of disease-free and endemic equilibria. Basic reproduction number R0 of the mod...
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Research Article10.9734/jamcs/2022/v37i830468
In this paper, we have proved that the probability density function \(f(t)\) considered as a distribution has a Cauchy representation in \(O_\alpha^{\prime}\). The distribution space \(O_\alpha^{\prime}\) is intermediate space between \(E^{\prime}\) and \(D^{\prime}\).
Open access
Research Article10.9734/jamcs/2022/v37i730467
We proposed and studied a new fractional-order model for the transmission dynamics of brucellosis with a special focus on the sheep-to-sheep transmission. Two control strategies namely; culling and vaccination rate are incorporated in the model. We computed the basic reproduction...
Open access
Research Article10.9734/jamcs/2022/v37i730466