Table 1.
Description of variables.
Fig 1.
Desert locust dual phase population dynamics schematic diagram.
Fig 2.
Profile of temperature-dependent oviposition rate of adult desert locusts using the function (7).
Fig 3.
Profile of temperature-dependent desert locust egg hatching rate (1/days).
Fig 4.
Profile of egg mortality rate of desert locusts as a function of soil temperature (°C).
Fig 5.
Profile of the relationship between air temperature (°C) versus desert locust hopper development rate (1/day).
Fig 6.
Profile of solitarious and gregarious nymphal mortality rate as a function of air temperature.
Fig 7.
Profile of solitarious and gregarious temperature dependent adult mortality.
Fig 8.
Partial rank correlation coefficients (PRCCs) between model parameters and the basic offspring number ().
Table 2.
Description of parameters.
Fig 9.
Time series of desert locust population densities for different initial conditions converging towards the extinction equilibrium.
The autonomous model (14) was used with parameters from Table 2 with ϕ = 1.75, resulting in a basic offspring number .
Fig 10.
Time series of desert locust population densities (eggs, hoppers, bands, solitaries, and gregarious adults) converging towards the non-trivial equilibrium.
The autonomous model (14) was used with parameters from Table 2 and ϕ = 25, μh = 0.25, μb = 0.3, resulting in a basic offspring number . Various initial conditions were utilized to illustrate the stability of the equilibrium.
Fig 11.
A simulation examining the effects of temperature-dependent fecundity rates(ϕ(T)) on the system (4).
Fig 12.
Simulated impact of temperature-dependent egg hatching rate σ(T) on desert locust population dynamics (4).
Model parameters based on Table 2 with ω = 2, T0 = 20°C, T1 = 2°C, κ = 100.
Fig 13.
The impact of γh(T).
Fig 14.
The impact of γb(T).