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Samuel B. Apima

Publications (10)

An SEIQR Mathematical Model for The Spread of COVID-19

Samuel B. Apima & Jacinta M. Mutwiwa · Journal of Advances in Mathematics and Computer Science · 2020

COVID-19, a novel coronavirus, is a respiratory infection which is spread between humans through small droplets expelled when a person with COVID-19 sneezes, coughs, or speaks. An SEIQR model to investigate the spread of COVID-19 was formulated and analysed. The disease free equi...

Open access Research Article 10.9734/jamcs/2020/v35i630290

Density Dependent Delayed Migration for Rosenzweig-Macaurther Model with Holling Type II Predator Functional Response

Samuel B. Apima, George O. Lawi & Nthiiri J. Kagendo · Asian Research Journal of Mathematics · 2019

The model describing the interaction between the predator and prey species is referred to as a predator-prey model. The migration of these species from one patch to another may not be instantaneous. This may be due to barriers such as a swollen river or a busy infrastructure thro...

Open access Research Article 10.9734/arjom/2019/v15i330148

Advancements in the Analysis of Sobolev Spaces and Function Spaces on Manifolds: Theoretical Framework and Applications

Mogoi N. Evans, Samuel B. Apima & Amos Otieno Wanjara · Advances in Research · 2024

This research paper delves into Sobolev spaces and function spaces on smooth manifolds, revealing fundamental theorems such as existence, embeddings, and compactness properties. Noteworthy results include the Poincare inequality elucidating function behavior on compact manifolds...

Open access Research Article 10.9734/air/2024/v25i31060

Norm-Attainable Operators in Hilbert Spaces: Properties and Applications

Mogoi N. Evans & Samuel B. Apima · Advances in Research · 2024

This research paper explores various properties and implications of norm-attainable operators on Hilbert spaces. We establish lemmas, propositions, and theorems that shed light on the characteristics of these operators and their relationship with the geometry and structure of the...

Open access Research Article 10.9734/air/2024/v25i11019

Interplay of Sobolev Spaces on Compact Manifolds: Embedding Theorems, Inequalities, and Compactness

Mogoi N. Evans & Samuel B. Apima · Advances in Research · 2024

This research paper explores various properties of Sobolev spaces on compact manifolds, focusing on embedding theorems, compactness, and inequalities. We establish the compact embedding of Sobolev spaces into continuous and Lebesgue spaces, as well as the continuity and compactne...

Open access Research Article 10.9734/air/2024/v25i11014

Properties and Characterizations of Norm-Attainable Operators in Compact and Self-Adjoint Settings

Mogoi N. Evans & Samuel B. Apima · Asian Research Journal of Mathematics · 2023

In this research paper, we investigate the properties and characterizations of norm-attainable operators in the context of compactness and self-adjointness. We present a series of propositions, a lemma, a theorem, and a corollary that shed light on the nature of these operators a...

Open access Research Article 10.9734/arjom/2023/v19i10731

Mathematical Modeling of Plants, Herbivore and Natural Enemies of Herbivores Interaction with Harvesting

Isaac K. Barasa & Samuel B. Apima · Asian Research Journal of Mathematics · 2023

Plant-herbivore-natural enemies of herbivores interaction is one of the basic interactions that drives of the ecosystem yields. In this interaction, plants are the primary food source for herbivores while natural enemies of herbivores depends on herbivores for food and on plants...

Open access Research Article 10.9734/arjom/2023/v19i10721

Mathematical Analysis of HPV and Cervical Cancer Model in the Presence of Protection

Jacinta M. Mutwiwa & Samuel B. Apima · Asian Research Journal of Mathematics · 2023

Human papilloma Virus (HPV) is the primary infection that causes Cervical cancer. Due to the high cost of treatment for cervical cancer, protection against HPV and Cervical cancer infection may be preferable in a scarce resource settings. In this paper, a deterministic model that...

Open access Research Article 10.9734/arjom/2023/v19i8683

Mathematical Modelling of Plant-Pathogen-Herbivore Interaction Incorporating Allee Effect and Harvesting

Isaac K. Barasa, Samuel B. Apima & Amos O. Wanjara · Journal of Advances in Mathematics and Computer Science · 2022

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 Article 10.9734/jamcs/2022/v37i91711