Results 61 to 70 of about 442 (145)

Positive global solutions for a general model of size‐dependent population dynamics

open access: yesAbstract and Applied Analysis, Volume 5, Issue 3, Page 191-206, 2000., 2000
We study size‐structured population models of general type which have the growth rate depending on the size and time. The local existence and uniqueness of the solution have been shown by Kato and Torikata (1997). Here, we discuss the positivity of the solution and global existence as well as L ∞ solutions.
Nobuyuki Kato
wiley   +1 more source

Periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity

open access: yesAdvances in Nonlinear Analysis, 2019
This paper is concerned with the periodic traveling fronts for partially degenerate reaction-diffusion systems with bistable and time-periodic nonlinearity.
Wu Shi-Liang, Hsu Cheng-Hsiung
doaj   +1 more source

Mathematical Analysis of a Resource‐Based Dispersal Model With Gompertz Growth and Optimal Harvesting

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low‐density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions ...
Md. Kamrujjaman   +6 more
wiley   +1 more source

Coastal fisheries adaptations to increasing climate change exposure in Japan

open access: yesPeople and Nature, Volume 6, Issue 6, Page 2339-2356, December 2024.
Abstract Climate change‐driven ocean warming is altering the geographic ranges of species, leading to a poleward shift of tropical species into temperate regions (tropicalisation). This threatens the native marine community assemblages by changing the availability of traditional marine resources, thus impacting the livelihood and well‐being of coastal ...
Xochitl Édua Elías Ilosvay   +3 more
wiley   +1 more source

Hopf bifurcation and Turing instability in a diffusive predator-prey model with hunting cooperation

open access: yesOpen Mathematics, 2022
In this article, we study Hopf bifurcation and Turing instability of a diffusive predator-prey model with hunting cooperation. For the local model, we analyze the stability of the equilibrium and derive conditions for determining the direction of Hopf ...
Miao Liangying, He Zhiqian
doaj   +1 more source

Stability analysis of a host parasite model

open access: yes, 2013
Host parasite models are similar to host parasitoid models except that the parasite does not necessarily kill the host. Leslie/Gower model (Leslie and Gower in Biometrika 47(3/4):219-234, 1960) played a historical role in ecology.
Ünal Ufuktepe, S. Kapçak
semanticscholar   +1 more source

Modeling and sensitivity analysis of HBV epidemic model with convex incidence rate

open access: yesResults in Physics, 2021
In this article, we study the qualitative analysis of the Hepatitis B epidemic model with convex incidence rate. First, we formulate the model without control and study local and global stability.
Amir Khan   +5 more
doaj   +1 more source

OPTIMAL CONTROL OF A TWO TEAMS PREY-PREDATOR INTERACTION MODEL

open access: yes, 2015
In this paper, a model of two teams of predators interacting with two teams of preys is proposed. The predator teams help each other and so do the prey teams.
S. Aly, M. Elettreby
semanticscholar   +1 more source

An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains

open access: yesComputational and Mathematical Biophysics
In this work, we propose a hybrid impulsive prey-predator-mutualist model on nonuniform time domains. We have investigated the permanence/persistence results for the proposed model using the comparison theorems of impulsive differential equations and ...
Kumar Anil, Malik Muslim
doaj   +1 more source

Dynamic model of COVID-19 and citizens reaction using fractional derivative

open access: yesAlexandria Engineering Journal, 2021
This paper presents dynamic model of COVID-19 and citizens reaction from a fraction of the population in Nigeria using fractional derivative. We consider the reported cases from February to June 2020 using fractional derivative. The Stability analysis of
R.B. Ogunrinde   +4 more
doaj   +1 more source

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