Solving ratio-dependent predator–prey system with constant effort harvesting using Adomian decomposition method

Makinde, Oluwole Daniel

doi:10.1016/j.amc.2006.07.083

Cited by 29 publications

(10 citation statements)

References 6 publications

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“…Furthermore, the disease can not be transmitted horizontally and vertically in both populations and it is not genetically inherited. The predation functional response of the leafhopper towards susceptible maize is assumed to follow Michaelis-Menten kinetics and is modelled using a Holling type II [18] functional form with predation and infection coefficients 1 , 2 and half saturation constants A and C. All the parameters and their descriptions are listed in Table 1.…”

Section: Model Description and Formulationmentioning

confidence: 99%

Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

Alemneh¹,

Makinde

Theuri

2019

International Journal of Mathematics and Mathematical Sciences

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In this paper, an ecoepidemiological deterministic model for the transmission dynamics of maize streak virus (MSV) disease in maize plant is proposed and analysed qualitatively using the stability theory of differential equations.The basic reproduction number with respect to the MSV free equilibrium is obtained using next generation matrix approach. The conditions for local and global asymptotic stability of MSV free and endemic equilibria are established. The model exhibits forward bifurcation and the sensitivity indices of various embedded parameters with respect to the MSV eradication or spreading are determined. Numerical simulation is performed and dispalyed graphically to justify the analytical results.

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Section: Model Description and Formulationmentioning

confidence: 99%

Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

Alemneh¹,

Makinde

Theuri

2019

International Journal of Mathematics and Mathematical Sciences

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“…The Adomian decomposition method (ADM) has been used by Soroush et al [18] and Koochi et al [19] to obtain deflection and pull-in parameters of cantilever actuators subjected to intermolecular and electrical forces. It has been shown that the Modified Adomian Decomposition Method (MADM) is a powerful and convenient method which can effectively solve micro and nano mechanics problems [20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

Effect of Dielectric-Layer on the Stress Field of Micro Cantilever Beams at the Onset of Pull-In Instability

2013

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In this paper, stress distribution of micro cantilever beams in the presence of a dielectric-layer is studied using an analytic method. The Modified Adomian Decomposition Method (MADM) is applied to obtain a semi-analytical solution for a distributed parameter model of the micro cantilever beam. The important parameters for designing and manufacturing micro-actuators such as shear force, bending moment and stress distribution along the cantilevers are computed for different values of the dielectric-layer parameter. The results of MADM are compared with the numerical results, and they found in good agreement. It is found that increase of the dielectric-layer parameter increases the dimensionless pull-in voltage, tip deflection, internal stress and bending moment of the micro cantilever actuators at the onset of pull-in instability.

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“…In particular bioeconomic modeling is concerned with scientific management of the exploitation of renewable resources like fisheries and forestry (cf. Makinde 2007). Hence harvesting of the ecosystems has been of interest to both economists and ecologists for some time now.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of harvested-predator–prey model: role of alternative resources

Sahoo

Das²,

Samanta³

2016

Model. Earth Syst. Environ.

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In this paper, A predator-prey model with square root functional response for herd behaviour of prey incorporating predator harvesting is proposed and analysed. The predator population is provided with alternative resource. The proposed model is demonstrated in respect of theoretical as well as numerical results. The Pontryagin's maximum principle is used to characterized the optimal harvesting strategy. Bifurcation study with the variation of harvesting effort and alternative resource are done in respect of numerical simulation. Simulation results show that suitable alternative resource has the capability to prevent predator extinction risk at higher harvesting level. The proposed model and obtaining results are usable in the field of conservation of biology.

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Solving ratio-dependent predator–prey system with constant effort harvesting using Adomian decomposition method

Cited by 29 publications

References 6 publications

Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

Ecoepidemiological Model and Analysis of MSV Disease Transmission Dynamics in Maize Plant

Effect of Dielectric-Layer on the Stress Field of Micro Cantilever Beams at the Onset of Pull-In Instability

Dynamics of harvested-predator–prey model: role of alternative resources

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