How do I keep the zombie moving towards the target?

wait(2)
function FindNearest(position)
    local lowest = math.huge -- infinity
    local NearestPlayer = nil
    for i,v in pairs(game.Players:GetPlayers()) do
        if v and v.Character then
            local distance = v:DistanceFromCharacter(position)
            if distance < lowest then
                lowest = distance
                NearestPlayer = v
            end
        end
    end
    return NearestPlayer
end

local PathfindingService = game:GetService("PathfindingService")

-- Variables for the zombie, its humanoid, and destination

local zombie = script.Parent
local humanoid = zombie.Humanoid
local destination = FindNearest(zombie.Torso.Position).Character
print(FindNearest(zombie.Torso.Position))


-- Create the path object
local path = PathfindingService:CreatePath()

-- Variables to store waypoints table and zombie's current waypoint
local waypoints
local currentWaypointIndex

local function followPath(destinationObject)
    -- Compute and check the path
    path:ComputeAsync(zombie.HumanoidRootPart.Position, destinationObject.PrimaryPart.Position)
    -- Empty waypoints table after each new path computation
    waypoints = {}

    if path.Status == Enum.PathStatus.Success then
        -- Get the path waypoints and start zombie walking
        waypoints = path:GetWaypoints()
        -- Move to first waypoint
        currentWaypointIndex = 1
        humanoid:MoveTo(waypoints[currentWaypointIndex].Position)
    else
        -- Error (path not found); stop humanoid
        humanoid:MoveTo(zombie.HumanoidRootPart.Position)
    end
end

local function onWaypointReached(reached)
    if reached and currentWaypointIndex < #waypoints then
        currentWaypointIndex = currentWaypointIndex + 1
        humanoid:MoveTo(waypoints[currentWaypointIndex].Position)
    end
end

local function onPathBlocked(blockedWaypointIndex)
    -- Check if the obstacle is further down the path
    if blockedWaypointIndex > currentWaypointIndex then
        -- Call function to re-compute the path
        followPath(destination)
    end
end

-- Connect 'Blocked' event to the 'onPathBlocked' function
path.Blocked:Connect(onPathBlocked)

-- Connect 'MoveToFinished' event to the 'onWaypointReached' function
humanoid.MoveToFinished:Connect(onWaypointReached)

followPath(destination)

Here is some code I stitched together for a zombie NPC I made. It works except once it makes it to the original position of the target it stops and doesn't move. I want it to keep finding a new path and continuing to follow the player and their new position. I tried placing a while loop at the end that reset the destination and re-found the path (shown below).

while wait(0.5) do
    local destination = FindNearest(zombie.Torso.Position).Character
    followPath(destination)
end

This worked for the most part except the movement was extremely jerky. Any suggestions would be great.