Mathematical insights into the SEIQRD model with Allee and fear dynamics in the context of COVID-19 DOI Creative Commons
Aakash Mohandoss,

C. Gunasundari,

S. Sabarinathan

et al.

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 11, P. 100756 - 100756

Published: June 12, 2024

In this study, we introduce and investigate the SEIQRD COVID-19 model incorporating Allee fear effects. Employing next-generation matrix method, derive basic reproduction number, a crucial epidemiological metric. Our exhibits two significant equilibrium points: one representing disease-free state other endemic state. Utilizing Routh–Hurwitz criteria, demonstrate that is locally asymptotically stable when number (R0) less than 1, while attains local stability R0 exceeds 1. Furthermore, establish global for through application of Poincare–Bendixson properties Dulac's criteria. To complement our theoretical results, conduct comprehensive simulation studies, validating practical implications findings.

Language: Английский

Hydra Effect and Harvesting Optimal Policy in a Generalist Predator Prey Model With General Holling Type Response Functions DOI Creative Commons

Solomon Alemu,

Mohammed Yiha Dawed,

Tesfaye Tefera Mamo

et al.

Journal of Applied Mathematics, Journal Year: 2025, Volume and Issue: 2025(1)

Published: Jan. 1, 2025

This study illustrates selective and combined harvesting efforts to examine the existence of hydra effect global MSTY (maximum sustainable total yield) in a generalist predator–prey mathematical model with general Holling type response functions. The is an ecological paradox which species’ population size increases increase its mortality rate. Existence unique solution, positivity, boundedness solution are verified. equilibrium points their stability discussed. MSTY, bionomic point, optimum level explained. Mainly, this stable species interaction model, we showed (i) predator establishes model; (ii) exists prey–predator system for Type I (HT‐I) functional some conditions; (iii) optimal stock maximizes net revenue applying effort. However, inducing greater than causes reduction density, leading extinction. Moreover, declines. analytical results also supported verified by numerical simulations.

Language: Английский

Citations

0
Mathematical insights into the SEIQRD model with Allee and fear dynamics in the context of COVID-19 DOI Creative Commons
Aakash Mohandoss,

C. Gunasundari,

S. Sabarinathan

et al.

Partial Differential Equations in Applied Mathematics, Journal Year: 2024, Volume and Issue: 11, P. 100756 - 100756

Published: June 12, 2024

In this study, we introduce and investigate the SEIQRD COVID-19 model incorporating Allee fear effects. Employing next-generation matrix method, derive basic reproduction number, a crucial epidemiological metric. Our exhibits two significant equilibrium points: one representing disease-free state other endemic state. Utilizing Routh–Hurwitz criteria, demonstrate that is locally asymptotically stable when number (R0) less than 1, while attains local stability R0 exceeds 1. Furthermore, establish global for through application of Poincare–Bendixson properties Dulac's criteria. To complement our theoretical results, conduct comprehensive simulation studies, validating practical implications findings.

Language: Английский

Citations

0